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30745656 = 2334172791
BaseRepresentation
bin111010101001…
…0010000111000
32010212001010000
41311102100320
530332330111
63014553000
7522222324
oct165222070
963761100
1030745656
111639a737
12a368760
1364a64c6
144124984
152a74c56
hex1d52438

30745656 has 80 divisors (see below), whose sum is σ = 91214640. Its totient is φ = 9642240.

The previous prime is 30745651. The next prime is 30745657. The reversal of 30745656 is 65654703.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30745656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30745651) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9621 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (1140183).

Almost surely, 230745656 is an apocalyptic number.

30745656 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 30745656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45607320).

30745656 is an abundant number, since it is smaller than the sum of its proper divisors (60468984).

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

30745656 is a wasteful number, since it uses less digits than its factorization.

30745656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 30745656 is about 5544.8765540813. The cubic root of 30745656 is about 313.2765743978.

The spelling of 30745656 in words is "thirty million, seven hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 2791 3672 5508 5582 8373 11016 11164 16746 22328 25119 33492 47447 50238 66984 75357 94894 100476 142341 150714 189788 200952 226071 284682 301428 379576 427023 452142 569364 602856 854046 904284 1138728 1281069 1708092 1808568 2562138 3416184 3843207 5124276 7686414 10248552 15372828 30745656