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3232115328 = 273131673877
BaseRepresentation
bin1100000010100110…
…0010101010000000
322100020210110201010
43000221202222000
523104410142303
61252415240520
7143044345521
oct30051425200
98306713633
103232115328
1114094990a2
12762519140
133c68045a0
14229388848
1513db43c03
hexc0a62a80

3232115328 has 128 divisors (see below), whose sum is σ = 9303477120. Its totient is φ = 988286976.

The previous prime is 3232115323. The next prime is 3232115357. The reversal of 3232115328 is 8235112323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3232115295 and 3232115304.

It is not an unprimeable number, because it can be changed into a prime (3232115323) 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, 831726 + ... + 835602.

It is an arithmetic number, because the mean of its divisors is an integer number (72683415).

Almost surely, 23232115328 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 3232115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651738560).

3232115328 is an abundant number, since it is smaller than the sum of its proper divisors (6071361792).

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

3232115328 is a wasteful number, since it uses less digits than its factorization.

3232115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4062 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3232115328 is about 56851.6959113798. The cubic root of 3232115328 is about 1478.5259440878.

The spelling of 3232115328 in words is "three billion, two hundred thirty-two million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 167 192 208 312 334 384 416 501 624 668 832 1002 1248 1336 1664 2004 2171 2496 2672 3877 4008 4342 4992 5344 6513 7754 8016 8684 10688 11631 13026 15508 16032 17368 21376 23262 26052 31016 32064 34736 46524 50401 52104 62032 64128 69472 93048 100802 104208 124064 138944 151203 186096 201604 208416 248128 277888 302406 372192 403208 416832 496256 604812 647459 744384 806416 833664 1209624 1294918 1488768 1612832 1942377 2419248 2589836 3225664 3884754 4838496 5179672 6451328 7769508 8416967 9676992 10359344 15539016 16833934 19353984 20718688 25250901 31078032 33667868 41437376 50501802 62156064 67335736 82874752 101003604 124312128 134671472 202007208 248624256 269342944 404014416 538685888 808028832 1077371776 1616057664 3232115328