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30713904 = 2434131823
BaseRepresentation
bin111010100101…
…0100000110000
32010210102120000
41311022200300
530330321104
63014150000
7522030624
oct165124060
963712500
1030713904
11163788a1
12a352300
136494c10
144117184
152a6a639
hex1d4a830

30713904 has 100 divisors (see below), whose sum is σ = 95785536. Its totient is φ = 9445248.

The previous prime is 30713897. The next prime is 30713909. The reversal of 30713904 is 40931703.

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

It is not an unprimeable number, because it can be changed into a prime (30713909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15937 + ... + 17759.

Almost surely, 230713904 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 30713904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892768).

30713904 is an abundant number, since it is smaller than the sum of its proper divisors (65071632).

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

30713904 is a wasteful number, since it uses less digits than its factorization.

30713904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30713904 is about 5542.0126308048. The cubic root of 30713904 is about 313.1686937485.

The spelling of 30713904 in words is "thirty million, seven hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1823 1872 2106 2808 3646 4212 5469 5616 7292 8424 10938 14584 16407 16848 21876 23699 29168 32814 43752 47398 49221 65628 71097 87504 94796 98442 131256 142194 147663 189592 196884 213291 262512 284388 295326 379184 393768 426582 568776 590652 639873 787536 853164 1137552 1181304 1279746 1706328 1919619 2362608 2559492 3412656 3839238 5118984 7678476 10237968 15356952 30713904