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30318912 = 2632134049
BaseRepresentation
bin111001110101…
…0000101000000
32010001100201200
41303222011000
530230201122
63001501200
7515464221
oct163520500
963040650
1030318912
1116129058
12a1a1800
1363871b0
144053248
1529dd5ac
hex1cea140

30318912 has 84 divisors (see below), whose sum is σ = 93611700. Its totient is φ = 9326592.

The previous prime is 30318881. The next prime is 30318929. The reversal of 30318912 is 21981303.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 24443136 = 2424^2 + 4944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5464 + ... + 9512.

It is an arithmetic number, because the mean of its divisors is an integer number (1114425).

Almost surely, 230318912 is an apocalyptic number.

30318912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46805850).

30318912 is an abundant number, since it is smaller than the sum of its proper divisors (63292788).

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

30318912 is a wasteful number, since it uses less digits than its factorization.

30318912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30318912 is about 5506.2611634393. The cubic root of 30318912 is about 311.8204094661.

The spelling of 30318912 in words is "thirty million, three hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 4049 7488 8098 12147 16196 24294 32392 36441 48588 52637 64784 72882 97176 105274 129568 145764 157911 194352 210548 259136 291528 315822 388704 421096 473733 583056 631644 777408 842192 947466 1166112 1263288 1684384 1894932 2332224 2526576 3368768 3789864 5053152 7579728 10106304 15159456 30318912