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364166040 = 23357261933
BaseRepresentation
bin10101101101001…
…011101110011000
3221101020112220010
4111231023232120
51221211303130
6100045201520
712011234400
oct2555135630
9841215803
10364166040
11177620377
12a1b602a0
135a5a6084
1436517800
1521e860b0
hex15b4bb98

364166040 has 96 divisors (see below), whose sum is σ = 1270885680. Its totient is φ = 83236608.

The previous prime is 364166039. The next prime is 364166051. The reversal of 364166040 is 40661463.

364166040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 364165989 and 364166007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25087 + ... + 36846.

Almost surely, 2364166040 is an apocalyptic number.

364166040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364166040 is an abundant number, since it is smaller than the sum of its proper divisors (906719640).

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

364166040 is a wasteful number, since it uses less digits than its factorization.

364166040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61961 (or 61950 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 364166040 is about 19083.1349625789. The cubic root of 364166040 is about 714.1122468666.

The spelling of 364166040 in words is "three hundred sixty-four million, one hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 61933 123866 185799 247732 309665 371598 433531 495464 619330 743196 867062 928995 1238660 1300593 1486392 1734124 1857990 2167655 2477320 2601186 3034717 3468248 3715980 4335310 5202372 6069434 6502965 7431960 8670620 9104151 10404744 12138868 13005930 15173585 17341240 18208302 24277736 26011860 30347170 36416604 45520755 52023720 60694340 72833208 91041510 121388680 182083020 364166040