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329716464 = 24371189209
BaseRepresentation
bin10011101001110…
…001001011110000
3211222102022221220
4103221301023300
51133401411324
652414545040
711112354330
oct2351611360
9758368856
10329716464
1115a130950
1292508180
13534039cc
1431b0b0c0
151de2db79
hex13a712f0

329716464 has 80 divisors (see below), whose sum is σ = 1061955840. Its totient is φ = 85639680.

The previous prime is 329716463. The next prime is 329716487. The reversal of 329716464 is 464617923.

It is a super-3 number, since 3×3297164643 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329716463) 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, 40909 + ... + 48300.

It is an arithmetic number, because the mean of its divisors is an integer number (13274448).

Almost surely, 2329716464 is an apocalyptic number.

It is an amenable number.

329716464 is an abundant number, since it is smaller than the sum of its proper divisors (732239376).

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

329716464 is a wasteful number, since it uses less digits than its factorization.

329716464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89238 (or 89232 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 329716464 is about 18158.0963759971. The cubic root of 329716464 is about 690.8443517700.

The spelling of 329716464 in words is "three hundred twenty-nine million, seven hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 89209 178418 267627 356836 535254 624463 713672 981299 1070508 1248926 1427344 1873389 1962598 2141016 2497852 2943897 3746778 3925196 4282032 4995704 5887794 6869093 7493556 7850392 9991408 11775588 13738186 14987112 15700784 20607279 23551176 27476372 29974224 41214558 47102352 54952744 82429116 109905488 164858232 329716464