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323884064 = 2572973683
BaseRepresentation
bin10011010011100…
…001010000100000
3211120110000102002
4103103201100200
51130403242224
652045543132
711011653260
oct2323412040
9746400362
10323884064
11156907989
1290574aa8
135214109a
143102d7a0
151d67a9ae
hex134e1420

323884064 has 96 divisors (see below), whose sum is σ = 765313920. Its totient is φ = 131991552.

The previous prime is 323884061. The next prime is 323884069. The reversal of 323884064 is 460488323.

It is not an unprimeable number, because it can be changed into a prime (323884061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473867 + ... + 474549.

It is an arithmetic number, because the mean of its divisors is an integer number (7972020).

Almost surely, 2323884064 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 323884064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382656960).

323884064 is an abundant number, since it is smaller than the sum of its proper divisors (441429856).

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

323884064 is a wasteful number, since it uses less digits than its factorization.

323884064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 323884064 is about 17996.7792674134. The cubic root of 323884064 is about 686.7466137894.

The spelling of 323884064 in words is "three hundred twenty-three million, eight hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 73 112 116 146 203 224 232 292 406 464 511 584 683 812 928 1022 1168 1366 1624 2044 2117 2336 2732 3248 4088 4234 4781 5464 6496 8176 8468 9562 10928 14819 16352 16936 19124 19807 21856 29638 33872 38248 39614 49859 59276 67744 76496 79228 99718 118552 138649 152992 158456 199436 237104 277298 316912 349013 398872 474208 554596 633824 698026 797744 1109192 1396052 1445911 1595488 2218384 2792104 2891822 4436768 5584208 5783644 10121377 11168416 11567288 20242754 23134576 40485508 46269152 80971016 161942032 323884064