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412434440 = 23511937351
BaseRepresentation
bin11000100101010…
…100000000001000
31001202001211200122
4120211110000020
51321040400230
6104531522412
713135430525
oct3045240010
91052054618
10412434440
111a1899110
12b6159408
13675a6262
143cac014c
152631cbe5
hex18954008

412434440 has 32 divisors (see below), whose sum is σ = 1012340160. Its totient is φ = 149976000.

The previous prime is 412434401. The next prime is 412434461. The reversal of 412434440 is 44434214.

It is a happy number.

It is a super-2 number, since 2×4124344402 = 340204334596227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468236 + ... + 469115.

It is an arithmetic number, because the mean of its divisors is an integer number (31635630).

Almost surely, 2412434440 is an apocalyptic number.

412434440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412434440 is an abundant number, since it is smaller than the sum of its proper divisors (599905720).

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

412434440 is a wasteful number, since it uses less digits than its factorization.

412434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937373 (or 937369 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 412434440 is about 20308.4819718265. The cubic root of 412434440 is about 744.3633375826.

Adding to 412434440 its reverse (44434214), we get a palindrome (456868654).

The spelling of 412434440 in words is "four hundred twelve million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 937351 1874702 3749404 4686755 7498808 9373510 10310861 18747020 20621722 37494040 41243444 51554305 82486888 103108610 206217220 412434440