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332612064 = 25323593217
BaseRepresentation
bin10011110100110…
…100000111100000
3212011212102222100
4103310310013200
51140122041224
653001010400
711146104321
oct2364640740
9764772870
10332612064
11160829404
1293483a00
1353ba8995
1432262448
151e301ac9
hex13d341e0

332612064 has 72 divisors (see below), whose sum is σ = 948795120. Its totient is φ = 110527488.

The previous prime is 332612057. The next prime is 332612069. The reversal of 332612064 is 460216233.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3326120642 = 221261570236680192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332612069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101784 + ... + 105000.

It is an arithmetic number, because the mean of its divisors is an integer number (13177710).

Almost surely, 2332612064 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 332612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474397560).

332612064 is an abundant number, since it is smaller than the sum of its proper divisors (616183056).

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

332612064 is a wasteful number, since it uses less digits than its factorization.

332612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 332612064 is about 18237.6551124315. The cubic root of 332612064 is about 692.8608129853.

Adding to 332612064 its reverse (460216233), we get a palindrome (792828297).

The spelling of 332612064 in words is "three hundred thirty-two million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 718 1077 1436 2154 2872 3217 3231 4308 5744 6434 6462 8616 9651 11488 12868 12924 17232 19302 25736 25848 28953 34464 38604 51472 51696 57906 77208 102944 103392 115812 154416 231624 308832 463248 926496 1154903 2309806 3464709 4619612 6929418 9239224 10394127 13858836 18478448 20788254 27717672 36956896 41576508 55435344 83153016 110870688 166306032 332612064