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2308920768 = 263372113767
BaseRepresentation
bin1000100110011111…
…0101010111000000
312221220122022212000
42021213311113000
514212040431033
61021040104000
7111134334300
oct21147652700
95856568760
102308920768
11a85364390
12545305000
132aa47970b
1417c911600
15d7a84a13
hex899f55c0

2308920768 has 672 divisors, whose sum is σ = 8978676480. Its totient is φ = 574801920.

The previous prime is 2308920749. The next prime is 2308920769. The reversal of 2308920768 is 8670298032.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×23089207682 = 10662230225803419648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2308920769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34461471 + ... + 34461537.

Almost surely, 22308920768 is an apocalyptic number.

2308920768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2308920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489338240).

2308920768 is an abundant number, since it is smaller than the sum of its proper divisors (6669755712).

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

2308920768 is a wasteful number, since it uses less digits than its factorization.

2308920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2308920768 is about 48051.2306606189. The cubic root of 2308920768 is about 1321.7105097671.

The spelling of 2308920768 in words is "two billion, three hundred eight million, nine hundred twenty thousand, seven hundred sixty-eight".