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332953009 = 7122572
BaseRepresentation
bin10011110110000…
…111010110110001
3212012111202122221
4103312013112301
51140213444014
653012201041
711152024324
oct2366072661
9765452587
10332953009
11160a41584
1293609181
1353c97c1c
14323107bb
151e36cb24
hex13d875b1

332953009 has 9 divisors (see below), whose sum is σ = 339027691. Its totient is φ = 326986240.

The previous prime is 332953001. The next prime is 332953013. The reversal of 332953009 is 900359233.

The square root of 332953009 is 18247.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 327791025 + 5161984 = 18105^2 + 2272^2 .

It is not a de Polignac number, because 332953009 - 23 = 332953001 is a prime.

It is a super-2 number, since 2×3329530092 = 221715412404308162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332953001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1295409 + ... + 1295665.

Almost surely, 2332953009 is an apocalyptic number.

332953009 is the 18247-th square number.

332953009 is the 9124-th centered octagonal number.

It is an amenable number.

332953009 is a deficient number, since it is larger than the sum of its proper divisors (6074682).

332953009 is an frugal number, since it uses more digits than its factorization.

332953009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 34.

The cubic root of 332953009 is about 693.0974718302.

The spelling of 332953009 in words is "three hundred thirty-two million, nine hundred fifty-three thousand, nine".

Divisors: 1 71 257 5041 18247 66049 1295537 4689479 332953009