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307401864 = 233711397419
BaseRepresentation
bin10010010100101…
…001010010001000
3210102102122002020
4102110221102020
51112143324424
650300404440
710421605230
oct2224512210
9712378066
10307401864
1114857a630
1286b46720
134b8bcbc3
142cb7ccc0
151bec2079
hex12529488

307401864 has 128 divisors (see below), whose sum is σ = 962841600. Its totient is φ = 79453440.

The previous prime is 307401823. The next prime is 307401869. The reversal of 307401864 is 468104703.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (307401869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733447 + ... + 733865.

It is an arithmetic number, because the mean of its divisors is an integer number (7522200).

Almost surely, 2307401864 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 307401864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481420800).

307401864 is an abundant number, since it is smaller than the sum of its proper divisors (655439736).

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

307401864 is a wasteful number, since it uses less digits than its factorization.

307401864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 307401864 is about 17532.8795125045. The cubic root of 307401864 is about 674.8938938840.

The spelling of 307401864 in words is "three hundred seven million, four hundred one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 397 419 462 616 794 838 924 1191 1257 1588 1676 1848 2382 2514 2779 2933 3176 3352 4367 4609 4764 5028 5558 5866 8337 8734 8799 9218 9528 10056 11116 11732 13101 13827 16674 17468 17598 18436 22232 23464 26202 27654 30569 32263 33348 34936 35196 36872 52404 55308 61138 64526 66696 70392 91707 96789 104808 110616 122276 129052 166343 183414 193578 244552 258104 332686 366828 387156 499029 665372 733656 774312 998058 1164401 1330744 1829773 1996116 2328802 3493203 3659546 3992232 4657604 5489319 6986406 7319092 9315208 10978638 12808411 13972812 14638184 21957276 25616822 27945624 38425233 43914552 51233644 76850466 102467288 153700932 307401864