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414005934 = 231923157897
BaseRepresentation
bin11000101011010…
…011101010101110
31001212000200101010
4120223103222232
51321441142214
6105025330050
713154664246
oct3053235256
91055020333
10414005934
111a2771871
12b6796926
1367a06634
143cdacb26
152652d659
hex18ad3aae

414005934 has 32 divisors (see below), whose sum is σ = 909492480. Its totient is φ = 125053632.

The previous prime is 414005929. The next prime is 414005983. The reversal of 414005934 is 439500414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76327 + ... + 81570.

It is an arithmetic number, because the mean of its divisors is an integer number (28421640).

Almost surely, 2414005934 is an apocalyptic number.

414005934 is an abundant number, since it is smaller than the sum of its proper divisors (495486546).

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

414005934 is a wasteful number, since it uses less digits than its factorization.

414005934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157944.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 414005934 is about 20347.1357689479. The cubic root of 414005934 is about 745.3075522519.

The spelling of 414005934 in words is "four hundred fourteen million, five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 874 1311 2622 157897 315794 473691 947382 3000043 3631631 6000086 7263262 9000129 10894893 18000258 21789786 69000989 138001978 207002967 414005934