Search a number
-
+
30674436 = 223131979131
BaseRepresentation
bin111010100000…
…0111000000100
32010201102102020
41311000320010
530323040221
63013243140
7521504562
oct165007004
963642366
1030674436
1116351181
12a3334b0
13647cc70
144106a32
152a5dac6
hex1d40e04

30674436 has 96 divisors (see below), whose sum is σ = 82790400. Its totient is φ = 8760960.

The previous prime is 30674429. The next prime is 30674447. The reversal of 30674436 is 63447603.

It is a junction number, because it is equal to n+sod(n) for n = 30674397 and 30674406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234091 + ... + 234221.

It is an arithmetic number, because the mean of its divisors is an integer number (862400).

Almost surely, 230674436 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 30674436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395200).

30674436 is an abundant number, since it is smaller than the sum of its proper divisors (52115964).

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

30674436 is a wasteful number, since it uses less digits than its factorization.

30674436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 30674436 is about 5538.4506858868. The cubic root of 30674436 is about 313.0344935055.

It can be divided in two parts, 3067 and 4436, that added together give a triangular number (7503 = T122).

The spelling of 30674436 in words is "thirty million, six hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 79 114 131 156 158 228 237 247 262 316 393 474 494 524 741 786 948 988 1027 1482 1501 1572 1703 2054 2489 2964 3002 3081 3406 4108 4503 4978 5109 6004 6162 6812 7467 9006 9956 10218 10349 12324 14934 18012 19513 20436 20698 29868 31047 32357 39026 41396 58539 62094 64714 78052 97071 117078 124188 129428 134537 194142 196631 234156 269074 388284 393262 403611 538148 589893 786524 807222 1179786 1614444 2359572 2556203 5112406 7668609 10224812 15337218 30674436