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30711744 = 263372539
BaseRepresentation
bin111010100100…
…1111111000000
32010210022121000
41311021333000
530330233434
63014132000
7522021420
oct165117700
963708530
1030711744
1116377208
12a351000
136493c3b
144116480
152a69b99
hex1d49fc0

30711744 has 112 divisors (see below), whose sum is σ = 103225600. Its totient is φ = 8771328.

The previous prime is 30711721. The next prime is 30711749. The reversal of 30711744 is 44711703.

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

It is a super-2 number, since 2×307117442 = 1886422439043072, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30711749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10827 + ... + 13365.

Almost surely, 230711744 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 30711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51612800).

30711744 is an abundant number, since it is smaller than the sum of its proper divisors (72513856).

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

30711744 is a wasteful number, since it uses less digits than its factorization.

30711744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 30711744 is about 5541.8177523264. The cubic root of 30711744 is about 313.1613522283.

The spelling of 30711744 in words is "thirty million, seven hundred eleven thousand, seven hundred forty-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 2539 3024 4032 5078 6048 7617 10156 12096 15234 17773 20312 22851 30468 35546 40624 45702 53319 60936 68553 71092 81248 91404 106638 121872 137106 142184 159957 162496 182808 213276 243744 274212 284368 319914 365616 426552 479871 487488 548424 568736 639828 731232 853104 959742 1096848 1137472 1279656 1462464 1706208 1919484 2193696 2559312 3412416 3838968 4387392 5118624 7677936 10237248 15355872 30711744