Search a number
-
+
30832704 = 263372549
BaseRepresentation
bin111010110011…
…1100001000000
32011000110112000
41311213201000
530343121304
63020504000
7523034160
oct165474100
964013460
1030832704
111644a081
12a3ab000
136507006
1441485a0
152a90939
hex1d67840

30832704 has 112 divisors (see below), whose sum is σ = 103632000. Its totient is φ = 8805888.

The previous prime is 30832661. The next prime is 30832717. The reversal of 30832704 is 40723803.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10822 + ... + 13370.

Almost surely, 230832704 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 30832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51816000).

30832704 is an abundant number, since it is smaller than the sum of its proper divisors (72799296).

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

30832704 is a wasteful number, since it uses less digits than its factorization.

30832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30832704 is about 5552.7204143555. The cubic root of 30832704 is about 313.5719484141.

The spelling of 30832704 in words is "thirty million, eight hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 2549 3024 4032 5098 6048 7647 10196 12096 15294 17843 20392 22941 30588 35686 40784 45882 53529 61176 68823 71372 81568 91764 107058 122352 137646 142744 160587 163136 183528 214116 244704 275292 285488 321174 367056 428232 481761 489408 550584 570976 642348 734112 856464 963522 1101168 1141952 1284696 1468224 1712928 1927044 2202336 2569392 3425856 3854088 4404672 5138784 7708176 10277568 15416352 30832704