Search a number
-
+
329682744 = 233310911399
BaseRepresentation
bin10011101001101…
…000111100111000
3211222100121201000
4103221220330320
51133344321434
652414125000
711112154116
oct2351507470
9758317630
10329682744
1115a108586
12924b0760
13533c1561
1431adcab6
151de23b99
hex13a68f38

329682744 has 64 divisors (see below), whose sum is σ = 917280000. Its totient is φ = 109715040.

The previous prime is 329682707. The next prime is 329682779. The reversal of 329682744 is 447286923.

329682744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 329682744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234957 + ... + 236355.

It is an arithmetic number, because the mean of its divisors is an integer number (14332500).

Almost surely, 2329682744 is an apocalyptic number.

It is an amenable number.

329682744 is an abundant number, since it is smaller than the sum of its proper divisors (587597256).

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

329682744 is a wasteful number, since it uses less digits than its factorization.

329682744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2495 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 329682744 is about 18157.1678408280. The cubic root of 329682744 is about 690.8208001550.

The spelling of 329682744 in words is "three hundred twenty-nine million, six hundred eighty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1091 1399 2182 2798 3273 4197 4364 5596 6546 8394 8728 9819 11192 12591 13092 16788 19638 25182 26184 29457 33576 37773 39276 50364 58914 75546 78552 100728 117828 151092 235656 302184 1526309 3052618 4578927 6105236 9157854 12210472 13736781 18315708 27473562 36631416 41210343 54947124 82420686 109894248 164841372 329682744