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332650656 = 253213233863
BaseRepresentation
bin10011110100111…
…101100010100000
3212011221101220200
4103310331202200
51140124310111
653001505200
711146324662
oct2364754240
9764841820
10332650656
111608553a8
12934a2200
1353bc0410
1432272532
151e30d256
hex13d3d8a0

332650656 has 144 divisors (see below), whose sum is σ = 1063310976. Its totient is φ = 97878528.

The previous prime is 332650639. The next prime is 332650657. The reversal of 332650656 is 656056233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3326506562 = 221312917874460672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332650656.

It is not an unprimeable number, because it can be changed into a prime (332650657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84181 + ... + 88043.

It is an arithmetic number, because the mean of its divisors is an integer number (7384104).

Almost surely, 2332650656 is an apocalyptic number.

332650656 is a gapful number since it is divisible by the number (36) 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 332650656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531655488).

332650656 is an abundant number, since it is smaller than the sum of its proper divisors (730660320).

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

332650656 is a wasteful number, since it uses less digits than its factorization.

332650656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 332650656 is about 18238.7131124978. The cubic root of 332650656 is about 692.8876088168.

The spelling of 332650656 in words is "three hundred thirty-two million, six hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 3863 4784 5382 6624 7176 7726 9568 10764 11589 14352 15452 21528 23178 28704 30904 34767 43056 46356 50219 61808 69534 86112 88849 92712 100438 123616 139068 150657 177698 185424 200876 266547 278136 301314 355396 370848 401752 451971 533094 556272 602628 710792 799641 803504 903942 1066188 1112544 1155037 1205256 1421584 1599282 1607008 1807884 2132376 2310074 2410512 2843168 3198564 3465111 3615768 4264752 4620148 4821024 6397128 6930222 7231536 8529504 9240296 10395333 12794256 13860444 14463072 18480592 20790666 25588512 27720888 36961184 41581332 55441776 83162664 110883552 166325328 332650656