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304342223140312 = 237176128118650441
BaseRepresentation
bin100010100110011000011001…
…0000110011011010111011000
31110220120211110210212002012221
41011030300302012123113120
5304342320333110442222
62555140515343513424
7121051000001254150
oct10514606206332730
91426524423762187
10304342223140312
1188a778a2860675
122a17368a8b8874
13100a846b855936
145522356827760
15252b98dc4d0c7
hex114cc3219b5d8

304342223140312 has 128 divisors (see below), whose sum is σ = 704342148324480. Its totient is φ = 120317718528000.

The previous prime is 304342223140301. The next prime is 304342223140321. The reversal of 304342223140312 is 213041322243403.

It is a super-2 number, since 2×3043422231403122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6993012 + ... + 25643452.

It is an arithmetic number, because the mean of its divisors is an integer number (5502673033785).

Almost surely, 2304342223140312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304342223140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352171074162240).

304342223140312 is an abundant number, since it is smaller than the sum of its proper divisors (399999925184168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304342223140312 is a wasteful number, since it uses less digits than its factorization.

304342223140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18650813 (or 18650809 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 304342223140312 its reverse (213041322243403), we get a palindrome (517383545383715).

The spelling of 304342223140312 in words is "three hundred four trillion, three hundred forty-two billion, two hundred twenty-three million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 61 68 119 122 136 238 244 281 427 476 488 562 854 952 1037 1124 1708 1967 2074 2248 3416 3934 4148 4777 7259 7868 8296 9554 14518 15736 17141 19108 29036 33439 34282 38216 58072 66878 68564 119987 133756 137128 239974 267512 291397 479948 582794 959896 1165588 2039779 2331176 4079558 8159116 16318232 18650441 37300882 74601764 130553087 149203528 261106174 317057497 522212348 634114994 1044424696 1137676901 1268229988 2219402479 2275353802 2536459976 4438804958 4550707604 5240773921 7963738307 8877609916 9101415208 10481547842 15927476614 17755219832 19340507317 20963095684 31854953228 36685417447 38681014634 41926191368 63709906456 73370834894 77362029268 89093156657 135383551219 146741669788 154724058536 178186313314 270767102438 293483339576 319687209181 356372626628 541534204876 623652096599 639374418362 712745253256 1083068409752 1247304193198 1278748836724 2237810464267 2494608386396 2557497673448 4475620928534 4989216772792 5434682556077 8951241857068 10869365112154 17902483714136 21738730224308 38042777892539 43477460448616 76085555785078 152171111570156 304342223140312