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30334976 = 2137232
BaseRepresentation
bin111001110111…
…0000000000000
32010002011202122
41303232000000
530231204401
63002103412
7515562110
oct163560000
963064678
1030334976
111613a131
12a1aab68
1363915b9
144059040
1529e321b
hex1cee000

30334976 has 84 divisors (see below), whose sum is σ = 72478392. Its totient is φ = 12435456.

The previous prime is 30334961. The next prime is 30334981. The reversal of 30334976 is 67943303.

30334976 = T263 + T264 + ... + T584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1318901 + ... + 1318923.

It is an arithmetic number, because the mean of its divisors is an integer number (862838).

Almost surely, 230334976 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 30334976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36239196).

30334976 is an abundant number, since it is smaller than the sum of its proper divisors (42143416).

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

30334976 is an frugal number, since it uses more digits than its factorization.

30334976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 30334976 is about 5507.7196733312. The cubic root of 30334976 is about 311.8754707939.

Multiplying 30334976 by its product of nonzero digits (40824), we get a square (1238395060224 = 11128322).

The spelling of 30334976 in words is "thirty million, three hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 529 644 736 896 1024 1058 1288 1472 1792 2048 2116 2576 2944 3584 3703 4096 4232 5152 5888 7168 7406 8192 8464 10304 11776 14336 14812 16928 20608 23552 28672 29624 33856 41216 47104 57344 59248 67712 82432 94208 118496 135424 164864 188416 236992 270848 329728 473984 541696 659456 947968 1083392 1318912 1895936 2166784 3791872 4333568 7583744 15167488 30334976