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412418040 = 23353436817
BaseRepresentation
bin11000100101001…
…111111111111000
31001202001000012020
4120211033333320
51321034334130
6104531314440
713135331646
oct3045177770
91052030166
10412418040
111a1887861
12b614ba20
136759b958
143cab8196
1526317e10
hex1894fff8

412418040 has 32 divisors (see below), whose sum is σ = 1237254480. Its totient is φ = 109978112.

The previous prime is 412417981. The next prime is 412418051. The reversal of 412418040 is 40814214.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412418040.

It is a congruent number.

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, 1718289 + ... + 1718528.

Almost surely, 2412418040 is an apocalyptic number.

412418040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412418040 is an abundant number, since it is smaller than the sum of its proper divisors (824836440).

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

412418040 is a wasteful number, since it uses less digits than its factorization.

412418040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436831 (or 3436827 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 412418040 is about 20308.0781956344. The cubic root of 412418040 is about 744.3534711898.

The spelling of 412418040 in words is "four hundred twelve million, four hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3436817 6873634 10310451 13747268 17184085 20620902 27494536 34368170 41241804 51552255 68736340 82483608 103104510 137472680 206209020 412418040