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30632904 = 2334411153
BaseRepresentation
bin111010011011…
…0101111001000
32010122022110000
41310312233020
530320223104
63012323000
7521242521
oct164665710
963568400
1030632904
1116322a55
12a313460
1364670a3
1440d5848
152a51639
hex1d36bc8

30632904 has 80 divisors (see below), whose sum is σ = 87969420. Its totient is φ = 9953280.

The previous prime is 30632897. The next prime is 30632939. The reversal of 30632904 is 40923603.

It can be written as a sum of positive squares in 2 ways, for example, as 30140100 + 492804 = 5490^2 + 702^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25992 + ... + 27144.

Almost surely, 230632904 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 30632904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43984710).

30632904 is an abundant number, since it is smaller than the sum of its proper divisors (57336516).

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

30632904 is a wasteful number, since it uses less digits than its factorization.

30632904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30632904 is about 5534.6999918695. The cubic root of 30632904 is about 312.8931508297.

The spelling of 30632904 in words is "thirty million, six hundred thirty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1153 1476 2214 2306 2952 3321 3459 4428 4612 6642 6918 8856 9224 10377 13284 13836 20754 26568 27672 31131 41508 47273 62262 83016 93393 94546 124524 141819 186786 189092 249048 283638 373572 378184 425457 567276 747144 850914 1134552 1276371 1701828 2552742 3403656 3829113 5105484 7658226 10210968 15316452 30632904