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30474864 = 243273617
BaseRepresentation
bin111010001000…
…0001001110000
32010100021122200
41310100021300
530300143424
63005103200
7520014000
oct164201160
963307580
1030474864
1116225242
12a257b00
136410184
144094000
152a1e8c9
hex1d10270

30474864 has 120 divisors (see below), whose sum is σ = 99621600. Its totient is φ = 8692992.

The previous prime is 30474859. The next prime is 30474887. The reversal of 30474864 is 46847403.

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 23 ways as a sum of consecutive naturals, for example, 49084 + ... + 49700.

It is an arithmetic number, because the mean of its divisors is an integer number (830180).

Almost surely, 230474864 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 30474864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49810800).

30474864 is an abundant number, since it is smaller than the sum of its proper divisors (69146736).

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

30474864 is a wasteful number, since it uses less digits than its factorization.

30474864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 30474864 is about 5520.4043330176. The cubic root of 30474864 is about 312.3541343782.

The spelling of 30474864 in words is "thirty million, four hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 617 686 784 882 1008 1029 1176 1234 1372 1764 1851 2058 2352 2468 2744 3087 3528 3702 4116 4319 4936 5488 5553 6174 7056 7404 8232 8638 9872 11106 12348 12957 14808 16464 17276 22212 24696 25914 29616 30233 34552 38871 44424 49392 51828 60466 69104 77742 88848 90699 103656 120932 155484 181398 207312 211631 241864 272097 310968 362796 423262 483728 544194 621936 634893 725592 846524 1088388 1269786 1451184 1693048 1904679 2176776 2539572 3386096 3809358 4353552 5079144 7618716 10158288 15237432 30474864