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2326000960 = 26533721569
BaseRepresentation
bin1000101010100011…
…1111010101000000
320000002210002110201
42022220333111000
514230424012320
61022450134544
7111432452623
oct21250772500
96002702421
102326000960
11a93a6aa48
1254ab81454
132b0b79b3a
14180cb9dba
15d930a70a
hex8aa3f540

2326000960 has 56 divisors (see below), whose sum is σ = 5555482920. Its totient is φ = 927596544.

The previous prime is 2326000951. The next prime is 2326001009. The reversal of 2326000960 is 690006232.

It can be written as a sum of positive squares in 4 ways, for example, as 27373824 + 2298627136 = 5232^2 + 47944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97056 + ... + 118624.

Almost surely, 22326000960 is an apocalyptic number.

2326000960 is a gapful number since it is divisible by the number (20) 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 2326000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777741460).

2326000960 is an abundant number, since it is smaller than the sum of its proper divisors (3229481960).

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

2326000960 is a wasteful number, since it uses less digits than its factorization.

2326000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21923 (or 21913 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2326000960 is about 48228.6321597451. The cubic root of 2326000960 is about 1324.9616146469.

The spelling of 2326000960 in words is "two billion, three hundred twenty-six million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 1348 1685 2696 3370 5392 6740 10784 13480 21568 21569 26960 43138 53920 86276 107840 107845 172552 215690 345104 431380 690208 862760 1380416 1725520 3451040 6902080 7268753 14537506 29075012 36343765 58150024 72687530 116300048 145375060 232600096 290750120 465200192 581500240 1163000480 2326000960