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4112322304 = 281719411213
BaseRepresentation
bin1111010100011101…
…0000111100000000
3101121121001121200111
43311013100330000
531410223303204
61520021201104
7203623106566
oct36507207400
911547047614
104112322304
111820331682
12969260194
13506c8ab0c
142b0231a36
15191060d04
hexf51d0f00

4112322304 has 144 divisors (see below), whose sum is σ = 9379752480. Its totient is φ = 1787166720.

The previous prime is 4112322289. The next prime is 4112322307. The reversal of 4112322304 is 4032232114.

It is a super-2 number, since 2×41123223042 = 33822389463951736832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112322307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389602 + ... + 3390814.

It is an arithmetic number, because the mean of its divisors is an integer number (65137170).

Almost surely, 24112322304 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 4112322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689876240).

4112322304 is an abundant number, since it is smaller than the sum of its proper divisors (5267430176).

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

4112322304 is a wasteful number, since it uses less digits than its factorization.

4112322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4112322304 is about 64127.3912146752. The cubic root of 4112322304 is about 1602.1224831707.

Adding to 4112322304 its reverse (4032232114), we get a palindrome (8144554418).

The spelling of 4112322304 in words is "four billion, one hundred twelve million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 19 32 34 38 41 64 68 76 82 128 136 152 164 256 272 304 323 328 544 608 646 656 697 779 1088 1213 1216 1292 1312 1394 1558 2176 2426 2432 2584 2624 2788 3116 4352 4852 4864 5168 5248 5576 6232 9704 10336 10496 11152 12464 13243 19408 20621 20672 22304 23047 24928 26486 38816 41242 41344 44608 46094 49733 49856 52972 77632 82484 82688 89216 92188 99466 99712 105944 155264 164968 178432 184376 198932 199424 211888 310528 329936 368752 391799 397864 423776 659872 737504 783598 795728 845461 847552 944927 1319744 1475008 1567196 1591456 1690922 1695104 1889854 2639488 2950016 3134392 3182912 3381844 3390208 3779708 5278976 5900032 6268784 6365824 6763688 7559416 12537568 12731648 13527376 15118832 16063759 25075136 27054752 30237664 32127518 50150272 54109504 60475328 64255036 100300544 108219008 120950656 128510072 216438016 241901312 257020144 514040288 1028080576 2056161152 4112322304