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328714464 = 25313220261
BaseRepresentation
bin10011100101111…
…100100011100000
3211220112102110210
4103211330203200
51133122330324
652341254120
711101012131
oct2345744340
9756472423
10328714464
11159607051
1292104340
1353142900
1431929c88
151dcd1d29
hex1397c8e0

328714464 has 72 divisors (see below), whose sum is σ = 934402392. Its totient is φ = 101137920.

The previous prime is 328714457. The next prime is 328714471. The reversal of 328714464 is 464417823.

It is an interprime number because it is at equal distance from previous prime (328714457) and next prime (328714471).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6094 + ... + 26354.

It is an arithmetic number, because the mean of its divisors is an integer number (12977811).

Almost surely, 2328714464 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 328714464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467201196).

328714464 is an abundant number, since it is smaller than the sum of its proper divisors (605687928).

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

328714464 is a wasteful number, since it uses less digits than its factorization.

328714464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20300 (or 20279 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 328714464 is about 18130.4843840423. The cubic root of 328714464 is about 690.1438221518.

The spelling of 328714464 in words is "three hundred twenty-eight million, seven hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 20261 40522 60783 81044 121566 162088 243132 263393 324176 486264 526786 648352 790179 972528 1053572 1580358 1945056 2107144 3160716 3424109 4214288 6321432 6848218 8428576 10272327 12642864 13696436 20544654 25285728 27392872 41089308 54785744 82178616 109571488 164357232 328714464