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380597088 = 253171012309
BaseRepresentation
bin10110101011110…
…111001101100000
3222112011100001110
4112223313031200
51234413101323
6101433303320
712301010334
oct2653671540
9875140043
10380597088
11185923253
12a7564b40
1360b09ba1
14387937c4
152362e793
hex16af7360

380597088 has 96 divisors (see below), whose sum is σ = 1068772320. Its totient is φ = 118169600.

The previous prime is 380597083. The next prime is 380597099. The reversal of 380597088 is 880795083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380597083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163678 + ... + 165986.

It is an arithmetic number, because the mean of its divisors is an integer number (11133045).

Almost surely, 2380597088 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 380597088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534386160).

380597088 is an abundant number, since it is smaller than the sum of its proper divisors (688175232).

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

380597088 is a wasteful number, since it uses less digits than its factorization.

380597088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 380597088 is about 19508.8976623488. The cubic root of 380597088 is about 724.6948143973.

The spelling of 380597088 in words is "three hundred eighty million, five hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 101 102 136 202 204 272 303 404 408 544 606 808 816 1212 1616 1632 1717 2309 2424 3232 3434 4618 4848 5151 6868 6927 9236 9696 10302 13736 13854 18472 20604 27472 27708 36944 39253 41208 54944 55416 73888 78506 82416 110832 117759 157012 164832 221664 233209 235518 314024 466418 471036 628048 699627 932836 942072 1256096 1399254 1865672 1884144 2798508 3731344 3768288 3964553 5597016 7462688 7929106 11194032 11893659 15858212 22388064 23787318 31716424 47574636 63432848 95149272 126865696 190298544 380597088