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2380061088 = 253229284969
BaseRepresentation
bin1000110111011100…
…1101100110100000
320010212111122000200
42031313031212200
514333243423323
61032100545200
7112660120416
oct21567154640
96125448020
102380061088
111011534139
125650b2200
132bc127292
1418814d2b6
15dde38443
hex8ddcd9a0

2380061088 has 72 divisors (see below), whose sum is σ = 7001712900. Its totient is φ = 765993984.

The previous prime is 2380061071. The next prime is 2380061113. The reversal of 2380061088 is 8801600832.

2380061088 is a `hidden beast` number, since 2 + 38 + 0 + 0 + 610 + 8 + 8 = 666.

2380061088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2374807824 + 5253264 = 48732^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23800610882 = 11329381565223487488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134133 + ... + 150836.

Almost surely, 22380061088 is an apocalyptic number.

It is an amenable number.

2380061088 is an abundant number, since it is smaller than the sum of its proper divisors (4621651812).

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

2380061088 is a wasteful number, since it uses less digits than its factorization.

2380061088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285014 (or 285003 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2380061088 is about 48785.8697575435. The cubic root of 2380061088 is about 1335.1478723548.

The spelling of 2380061088 in words is "two billion, three hundred eighty million, sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 284969 569938 854907 1139876 1709814 2279752 2564721 3419628 4559504 5129442 6839256 8264101 9119008 10258884 13678512 16528202 20517768 24792303 27357024 33056404 41035536 49584606 66112808 74376909 82071072 99169212 132225616 148753818 198338424 264451232 297507636 396676848 595015272 793353696 1190030544 2380061088