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30740688 = 2433116469
BaseRepresentation
bin111010101000…
…1000011010000
32010211210022000
41311101003100
530332200223
63014514000
7522201666
oct165210320
963753260
1030740688
1116396a30
12a365900
1364a4174
144122c36
152a73543
hex1d510d0

30740688 has 80 divisors (see below), whose sum is σ = 96273600. Its totient is φ = 9313920.

The previous prime is 30740639. The next prime is 30740707. The reversal of 30740688 is 88604703.

30740688 = 1022 + 1032 + ... + 4532.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518 + ... + 7986.

It is an arithmetic number, because the mean of its divisors is an integer number (1203420).

Almost surely, 230740688 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 30740688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48136800).

30740688 is an abundant number, since it is smaller than the sum of its proper divisors (65532912).

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

30740688 is a wasteful number, since it uses less digits than its factorization.

30740688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30740688 is about 5544.4285548648. The cubic root of 30740688 is about 313.2597000156.

The spelling of 30740688 in words is "thirty million, seven hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 6469 12938 19407 25876 38814 51752 58221 71159 77628 103504 116442 142318 155256 174663 213477 232884 284636 310512 349326 426954 465768 569272 640431 698652 853908 931536 1138544 1280862 1397304 1707816 1921293 2561724 2794608 3415632 3842586 5123448 7685172 10246896 15370344 30740688