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412431432 = 2337350101
BaseRepresentation
bin11000100101010…
…011010001001000
31001202001200120020
4120211103101020
51321040301212
6104531500440
713135416000
oct3045232110
91052050506
10412431432
111a1896926
12b6157720
13675a4a8a
143cabd000
152631bd8c
hex18953448

412431432 has 64 divisors (see below), whose sum is σ = 1202448000. Its totient is φ = 117835200.

The previous prime is 412431427. The next prime is 412431443. The reversal of 412431432 is 234134214.

It is a super-2 number, since 2×4124314322 = 340199372203141248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16819 + ... + 33282.

It is an arithmetic number, because the mean of its divisors is an integer number (18788250).

Almost surely, 2412431432 is an apocalyptic number.

412431432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

412431432 is an abundant number, since it is smaller than the sum of its proper divisors (790016568).

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

412431432 is a wasteful number, since it uses less digits than its factorization.

412431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50131 (or 50113 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 412431432 is about 20308.4079139651. The cubic root of 412431432 is about 744.3615279613.

Adding to 412431432 its reverse (234134214), we get a palindrome (646565646).

The spelling of 412431432 in words is "four hundred twelve million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 50101 100202 150303 200404 300606 350707 400808 601212 701414 1052121 1202424 1402828 2104242 2454949 2805656 4208484 4909898 7364847 8416968 9819796 14729694 17184643 19639592 29459388 34369286 51553929 58918776 68738572 103107858 137477144 206215716 412431432