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416161640 = 23585312197
BaseRepresentation
bin11000110011100…
…001111101101000
31002000002012110002
4120303201331220
51323014133030
6105143442132
713212213146
oct3063417550
91060065402
10416161640
111a3a04444
12b7456348
13682ac8bb
143d3b0596
1526807245
hex18ce1f68

416161640 has 32 divisors (see below), whose sum is σ = 937538280. Its totient is φ = 166255872.

The previous prime is 416161621. The next prime is 416161661. The reversal of 416161640 is 46161614.

It can be written as a sum of positive squares in 4 ways, for example, as 272976484 + 143185156 = 16522^2 + 11966^2 .

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, 28022 + ... + 40218.

Almost surely, 2416161640 is an apocalyptic number.

416161640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416161640 is an abundant number, since it is smaller than the sum of its proper divisors (521376640).

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

416161640 is a wasteful number, since it uses less digits than its factorization.

416161640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13061 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 416161640 is about 20400.0401960388. The cubic root of 416161640 is about 746.5989052382.

The spelling of 416161640 in words is "four hundred sixteen million, one hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 853 1706 3412 4265 6824 8530 12197 17060 24394 34120 48788 60985 97576 121970 243940 487880 10404041 20808082 41616164 52020205 83232328 104040410 208080820 416161640