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406696704 = 2831733061
BaseRepresentation
bin11000001111011…
…011001100000000
31001100021022222220
4120033123030000
51313103243304
6104204531040
713035602451
oct3017331400
91040238886
10406696704
1119962a287
12b4250a80
136634774b
143c029128
1525a87ad9
hex183db300

406696704 has 72 divisors (see below), whose sum is σ = 1089018672. Its totient is φ = 134737920.

The previous prime is 406696681. The next prime is 406696727. The reversal of 406696704 is 407696604.

It is an interprime number because it is at equal distance from previous prime (406696681) and next prime (406696727).

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, 131334 + ... + 134394.

Almost surely, 2406696704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406696704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544509336).

406696704 is an abundant number, since it is smaller than the sum of its proper divisors (682321968).

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

406696704 is a wasteful number, since it uses less digits than its factorization.

406696704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 406696704 is about 20166.7226886274. The cubic root of 406696704 is about 740.8953758903.

The spelling of 406696704 in words is "four hundred six million, six hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2768 3061 4152 5536 6122 8304 9183 11072 12244 16608 18366 22144 24488 33216 36732 44288 48976 66432 73464 97952 132864 146928 195904 293856 391808 529553 587712 783616 1059106 1175424 1588659 2118212 2350848 3177318 4236424 6354636 8472848 12709272 16945696 25418544 33891392 50837088 67782784 101674176 135565568 203348352 406696704