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30688632 = 2334133643
BaseRepresentation
bin111010100010…
…0010101111000
32010202010220000
41311010111320
530324014012
63013433000
7521564142
oct165042570
963663800
1030688632
1116360907
12a33b760
136486570
14410bc92
152a62ddc
hex1d44578

30688632 has 80 divisors (see below), whose sum is σ = 92594040. Its totient is φ = 9440064.

The previous prime is 30688631. The next prime is 30688639. The reversal of 30688632 is 23688603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30688631) 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, 6603 + ... + 10245.

Almost surely, 230688632 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 30688632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46297020).

30688632 is an abundant number, since it is smaller than the sum of its proper divisors (61905408).

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

30688632 is a wasteful number, since it uses less digits than its factorization.

30688632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30688632 is about 5539.7321234876. The cubic root of 30688632 is about 313.0827764071.

The spelling of 30688632 in words is "thirty million, six hundred eighty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 3643 4212 7286 8424 10929 14572 21858 29144 32787 43716 47359 65574 87432 94718 98361 131148 142077 189436 196722 262296 284154 295083 378872 393444 426231 568308 590166 786888 852462 1136616 1180332 1278693 1704924 2360664 2557386 3409848 3836079 5114772 7672158 10229544 15344316 30688632