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332117064 = 23331639433
BaseRepresentation
bin10011110010111…
…011010001001000
3212010221021222000
4103302323101020
51140010221224
652542231000
711141643216
oct2362732110
9763837860
10332117064
11160520514
1293285460
1353a64596
1432173cb6
151e2550c9
hex13cbb448

332117064 has 64 divisors (see below), whose sum is σ = 928305600. Its totient is φ = 110014848.

The previous prime is 332117059. The next prime is 332117089. The reversal of 332117064 is 460711233.

It is a super-2 number, since 2×3321170642 = 220603488399960192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30492 + ... + 39924.

It is an arithmetic number, because the mean of its divisors is an integer number (14504775).

Almost surely, 2332117064 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 332117064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464152800).

332117064 is an abundant number, since it is smaller than the sum of its proper divisors (596188536).

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

332117064 is a wasteful number, since it uses less digits than its factorization.

332117064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9601 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 332117064 is about 18224.0792359998. The cubic root of 332117064 is about 692.5169325144.

Adding to 332117064 its reverse (460711233), we get a palindrome (792828297).

The spelling of 332117064 in words is "three hundred thirty-two million, one hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3912 4401 5868 8802 9433 11736 17604 18866 28299 35208 37732 56598 75464 84897 113196 169794 226392 254691 339588 509382 679176 1018764 1537579 2037528 3075158 4612737 6150316 9225474 12300632 13838211 18450948 27676422 36901896 41514633 55352844 83029266 110705688 166058532 332117064