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344923812 = 223317243257
BaseRepresentation
bin10100100011110…
…001111010100100
3220001000221112000
4110203301322210
51201300030222
654120525300
711355542532
oct2443617244
9801027460
10344923812
11167778402
1297620830
13565c983c
1433b49152
15204349ac
hex148f1ea4

344923812 has 144 divisors (see below), whose sum is σ = 975817920. Its totient is φ = 105283584.

The previous prime is 344923793. The next prime is 344923823. The reversal of 344923812 is 218329443.

It is a super-2 number, since 2×3449238122 = 237944872169222688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341988 + ... + 1342244.

Almost surely, 2344923812 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 344923812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487908960).

344923812 is an abundant number, since it is smaller than the sum of its proper divisors (630894108).

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

344923812 is a wasteful number, since it uses less digits than its factorization.

344923812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 344923812 is about 18572.1245957483. The cubic root of 344923812 is about 701.3062764753.

It can be divided in two parts, 3449 and 23812, that added together give a triangular number (27261 = T233).

The spelling of 344923812 in words is "three hundred forty-four million, nine hundred twenty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 204 257 258 289 306 387 459 514 516 578 612 731 771 774 867 918 1028 1156 1161 1462 1542 1548 1734 1836 2193 2313 2322 2601 2924 3084 3468 4369 4386 4626 4644 5202 6579 6939 7803 8738 8772 9252 10404 11051 12427 13107 13158 13878 15606 17476 19737 22102 24854 26214 26316 27756 31212 33153 37281 39321 39474 44204 49708 52428 66306 74273 74562 78642 78948 99459 111843 117963 132612 148546 149124 157284 187867 198918 222819 223686 235926 297092 298377 335529 375734 397836 445638 447372 471852 563601 596754 668457 671058 751468 891276 1127202 1193508 1336914 1342116 1690803 2005371 2254404 2673828 3193739 3381606 4010742 5072409 6387478 6763212 8021484 9581217 10144818 12774956 19162434 20289636 28743651 38324868 57487302 86230953 114974604 172461906 344923812