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414105996 = 22343802531
BaseRepresentation
bin11000101011101…
…100000110001100
31001212012202122010
4120223230012030
51322002342441
6105031421220
713155562053
oct3053540614
91055182563
10414105996
111a282aa67
12b6824810
1367a40045
143cdd739a
152654d116
hex18aec18c

414105996 has 24 divisors (see below), whose sum is σ = 988719424. Its totient is φ = 134825040.

The previous prime is 414105977. The next prime is 414105997. The reversal of 414105996 is 699501414.

It is not an unprimeable number, because it can be changed into a prime (414105997) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 400750 + ... + 401781.

Almost surely, 2414105996 is an apocalyptic number.

It is an amenable number.

414105996 is an abundant number, since it is smaller than the sum of its proper divisors (574613428).

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

414105996 is a wasteful number, since it uses less digits than its factorization.

414105996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802581 (or 802579 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 414105996 is about 20349.5944922743. The cubic root of 414105996 is about 745.3675924194.

The spelling of 414105996 in words is "four hundred fourteen million, one hundred five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 802531 1605062 2407593 3210124 4815186 9630372 34508833 69017666 103526499 138035332 207052998 414105996