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380969040 = 243510131567
BaseRepresentation
bin10110101101010…
…010000001010000
3222112212020021110
4112231102001100
51240012002130
6101445253320
712304116624
oct2655220120
9875766243
10380969040
11186057751
12a7704240
1360c0a28a
143884d184
15236a4ab0
hex16b52050

380969040 has 80 divisors (see below), whose sum is σ = 1182924288. Its totient is φ = 101426688.

The previous prime is 380969023. The next prime is 380969053. The reversal of 380969040 is 40969083.

380969040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 380969040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242337 + ... + 243903.

Almost surely, 2380969040 is an apocalyptic number.

380969040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380969040 is an abundant number, since it is smaller than the sum of its proper divisors (801955248).

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

380969040 is a wasteful number, since it uses less digits than its factorization.

380969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 380969040 is about 19518.4282154071. The cubic root of 380969040 is about 724.9308154354.

The spelling of 380969040 in words is "three hundred eighty million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1013 1567 2026 3039 3134 4052 4701 5065 6078 6268 7835 8104 9402 10130 12156 12536 15195 15670 16208 18804 20260 23505 24312 25072 30390 31340 37608 40520 47010 48624 60780 62680 75216 81040 94020 121560 125360 188040 243120 376080 1587371 3174742 4762113 6349484 7936855 9524226 12698968 15873710 19048452 23810565 25397936 31747420 38096904 47621130 63494840 76193808 95242260 126989680 190484520 380969040