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30740424 = 2331113353
BaseRepresentation
bin111010101000…
…0111111001000
32010211202221020
41311100333020
530332143144
63014512440
7522201141
oct165207710
963752836
1030740424
1116396810
12a365720
1364a4000
144122ac8
152a73419
hex1d50fc8

30740424 has 128 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 8436480.

The previous prime is 30740393. The next prime is 30740431. The reversal of 30740424 is 42404703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30740394 and 30740403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 579982 + ... + 580034.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 230740424 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 30740424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

30740424 is an abundant number, since it is smaller than the sum of its proper divisors (61793976).

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

30740424 is a wasteful number, since it uses less digits than its factorization.

30740424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 30740424 is about 5544.4047471302. The cubic root of 30740424 is about 313.2588032584.

The spelling of 30740424 in words is "thirty million, seven hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 53 66 78 88 104 106 132 143 156 159 169 212 264 286 312 318 338 424 429 507 572 583 636 676 689 858 1014 1144 1166 1272 1352 1378 1716 1749 1859 2028 2067 2197 2332 2756 3432 3498 3718 4056 4134 4394 4664 5512 5577 6591 6996 7436 7579 8268 8788 8957 11154 13182 13992 14872 15158 16536 17576 17914 22308 22737 24167 26364 26871 30316 35828 44616 45474 48334 52728 53742 60632 71656 72501 90948 96668 98527 107484 116441 145002 181896 193336 197054 214968 232882 290004 295581 349323 394108 465764 580008 591162 698646 788216 931528 1182324 1280851 1397292 2364648 2561702 2794584 3842553 5123404 7685106 10246808 15370212 30740424