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329614064 = 24133174999
BaseRepresentation
bin10011101001011…
…000001011110000
3211222020010111022
4103221120023300
51133340122224
652412435012
711111446643
oct2351301360
9758203438
10329614064
1115a070a1a
1292478a68
1353399210
1431ac1a5a
151de0d65e
hex13a582f0

329614064 has 40 divisors (see below), whose sum is σ = 690060000. Its totient is φ = 151619328.

The previous prime is 329614027. The next prime is 329614067. The reversal of 329614064 is 460416923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329614067) 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 7 ways as a sum of consecutive naturals, for example, 63437 + ... + 68435.

It is an arithmetic number, because the mean of its divisors is an integer number (17251500).

Almost surely, 2329614064 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 329614064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345030000).

329614064 is an abundant number, since it is smaller than the sum of its proper divisors (360445936).

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

329614064 is a wasteful number, since it uses less digits than its factorization.

329614064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 329614064 is about 18155.2764782032. The cubic root of 329614064 is about 690.7728258843.

The spelling of 329614064 in words is "three hundred twenty-nine million, six hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 317 634 1268 2536 4121 4999 5072 8242 9998 16484 19996 32968 39992 64987 65936 79984 129974 259948 519896 1039792 1584683 3169366 6338732 12677464 20600879 25354928 41201758 82403516 164807032 329614064