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307627012 = 2271122931101
BaseRepresentation
bin10010010101100…
…000010000000100
3210102212001221001
4102111200100010
51112223031022
650305303044
710423533520
oct2225402004
9712761831
10307627012
11148713800
1287034a84
134b96b524
142cbdad80
151c018b27
hex12560404

307627012 has 144 divisors (see below), whose sum is σ = 729308160. Its totient is φ = 110880000.

The previous prime is 307627007. The next prime is 307627049. The reversal of 307627012 is 210726703.

307627012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3045762 + ... + 3045862.

It is an arithmetic number, because the mean of its divisors is an integer number (5064640).

Almost surely, 2307627012 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 307627012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

307627012 is an abundant number, since it is smaller than the sum of its proper divisors (421681148).

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

307627012 is a wasteful number, since it uses less digits than its factorization.

307627012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 307627012 is about 17539.2990737943. The cubic root of 307627012 is about 675.0586228006.

The spelling of 307627012 in words is "three hundred seven million, six hundred twenty-seven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 29 31 44 58 62 77 101 116 121 124 154 202 203 217 242 308 319 341 404 406 434 484 638 682 707 812 847 868 899 1111 1276 1364 1414 1694 1798 2222 2233 2387 2828 2929 3131 3388 3509 3596 3751 4444 4466 4774 5858 6262 6293 7018 7502 7777 8932 9548 9889 11716 12221 12524 12586 14036 15004 15554 19778 20503 21917 24442 24563 25172 26257 31108 32219 34441 39556 41006 43834 48884 49126 52514 64438 68882 69223 82012 85547 87668 90799 98252 105028 108779 128876 137764 138446 171094 181598 217558 225533 241087 276892 342188 354409 363196 378851 435116 451066 482174 635593 708818 757702 761453 902132 964348 998789 1271186 1417636 1515404 1522906 1997578 2480863 2542372 2651957 3045812 3995156 4961726 5303914 6991523 9923452 10607828 10986679 13983046 21973358 27966092 43946716 76906753 153813506 307627012