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30874176 = 2633171051
BaseRepresentation
bin111010111000…
…1101001000000
32011002120102000
41311301221000
530400433201
63021424000
7523266114
oct165615100
964076360
1030874176
1116478253
12a40b000
13651cb58
144159744
152a9cd86
hex1d71a40

30874176 has 112 divisors (see below), whose sum is σ = 96194880. Its totient is φ = 9676800.

The previous prime is 30874163. The next prime is 30874213. The reversal of 30874176 is 67147803.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30874176.

It is a congruent number.

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, 28851 + ... + 29901.

Almost surely, 230874176 is an apocalyptic number.

30874176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30874176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48097440).

30874176 is an abundant number, since it is smaller than the sum of its proper divisors (65320704).

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

30874176 is a wasteful number, since it uses less digits than its factorization.

30874176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 30874176 is about 5556.4535452031. The cubic root of 30874176 is about 313.7124770076.

The spelling of 30874176 in words is "thirty million, eight hundred seventy-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1051 1088 1224 1632 1728 1836 2102 2448 3153 3264 3672 4204 4896 6306 7344 8408 9459 9792 12612 14688 16816 17867 18918 25224 28377 29376 33632 35734 37836 50448 53601 56754 67264 71468 75672 100896 107202 113508 142936 151344 160803 201792 214404 227016 285872 302688 321606 428808 454032 482409 571744 605376 643212 857616 908064 964818 1143488 1286424 1715232 1816128 1929636 2572848 3430464 3859272 5145696 7718544 10291392 15437088 30874176