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412704024 = 233431133539
BaseRepresentation
bin11000100110010…
…101110100011000
31001202120112111020
4120212111310120
51321123012044
6104541402440
713140632505
oct3046256430
91052515436
10412704024
111a1a62707
12b6269420
136766bb85
143cb504ac
1526372a19
hex18995d18

412704024 has 64 divisors (see below), whose sum is σ = 1065398400. Its totient is φ = 133142016.

The previous prime is 412704001. The next prime is 412704037. The reversal of 412704024 is 420407214.

It is a super-2 number, since 2×4127040242 = 340649222851585152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 412703985 and 412704003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114847 + ... + 118385.

It is an arithmetic number, because the mean of its divisors is an integer number (16646850).

Almost surely, 2412704024 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 412704024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532699200).

412704024 is an abundant number, since it is smaller than the sum of its proper divisors (652694376).

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

412704024 is a wasteful number, since it uses less digits than its factorization.

412704024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 412704024 is about 20315.1181143502. The cubic root of 412704024 is about 744.5254843553.

The spelling of 412704024 in words is "four hundred twelve million, seven hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 113 129 172 226 258 339 344 452 516 678 904 1032 1356 2712 3539 4859 7078 9718 10617 14156 14577 19436 21234 28312 29154 38872 42468 58308 84936 116616 152177 304354 399907 456531 608708 799814 913062 1199721 1217416 1599628 1826124 2399442 3199256 3652248 4798884 9597768 17196001 34392002 51588003 68784004 103176006 137568008 206352012 412704024