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434715920 = 24512742787
BaseRepresentation
bin11001111010010…
…011110100010000
31010021222212010122
4121322103310100
51342241402140
6111045245412
713526011232
oct3172236420
91107885118
10434715920
11203427561
12101703868
136c0a7c72
1441a40252
152826eab5
hex19e93d10

434715920 has 40 divisors (see below), whose sum is σ = 1018696704. Its totient is φ = 172513152.

The previous prime is 434715913. The next prime is 434715937. The reversal of 434715920 is 29517434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4347159202 = 377955862202892800, 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, 11234 + ... + 31553.

Almost surely, 2434715920 is an apocalyptic number.

434715920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434715920 is an abundant number, since it is smaller than the sum of its proper divisors (583980784).

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

434715920 is a wasteful number, since it uses less digits than its factorization.

434715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42927 (or 42921 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 434715920 is about 20849.8422056379. The cubic root of 434715920 is about 757.5335090304.

The spelling of 434715920 in words is "four hundred thirty-four million, seven hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 42787 85574 171148 213935 342296 427870 684592 855740 1711480 3422960 5433949 10867898 21735796 27169745 43471592 54339490 86943184 108678980 217357960 434715920