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2315371104 = 253217346471
BaseRepresentation
bin1000101000000001…
…1100001001100000
312222100210001001100
42022000130021200
514220213333404
61021430234400
7111243221034
oct21200341140
95870701040
102315371104
11a88a6a642
125474b5a00
132ab8c7697
1417d7101c4
15d840ad39
hex8a01c260

2315371104 has 72 divisors (see below), whose sum is σ = 6622538832. Its totient is φ = 767312640.

The previous prime is 2315371099. The next prime is 2315371127. The reversal of 2315371104 is 4011735132.

2315371104 is a `hidden beast` number, since 23 + 1 + 537 + 1 + 104 = 666.

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

It is a congruent number.

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, 26589 + ... + 73059.

It is an arithmetic number, because the mean of its divisors is an integer number (91979706).

Almost surely, 22315371104 is an apocalyptic number.

2315371104 is a gapful number since it is divisible by the number (24) 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 2315371104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311269416).

2315371104 is an abundant number, since it is smaller than the sum of its proper divisors (4307167728).

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

2315371104 is a wasteful number, since it uses less digits than its factorization.

2315371104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46660 (or 46649 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2315371104 is about 48118.3032119795. The cubic root of 2315371104 is about 1322.9401679707.

The spelling of 2315371104 in words is "two billion, three hundred fifteen million, three hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 24912 46471 49824 92942 139413 185884 278826 371768 418239 557652 743536 836478 1115304 1487072 1672956 2230608 3345912 4461216 6691824 8039483 13383648 16078966 24118449 32157932 48236898 64315864 72355347 96473796 128631728 144710694 192947592 257263456 289421388 385895184 578842776 771790368 1157685552 2315371104