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30746976 = 2531371347
BaseRepresentation
bin111010101001…
…0100101100000
32010212002220220
41311102211200
530332400401
63015003040
7522226221
oct165224540
963762826
1030746976
11163a0727
12a369480
1364a6ca0
144125248
152a75336
hex1d52960

30746976 has 96 divisors (see below), whose sum is σ = 88397568. Its totient is φ = 9300480.

The previous prime is 30746953. The next prime is 30746981. The reversal of 30746976 is 67964703.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88435 + ... + 88781.

It is an arithmetic number, because the mean of its divisors is an integer number (920808).

Almost surely, 230746976 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 30746976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

30746976 is an abundant number, since it is smaller than the sum of its proper divisors (57650592).

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

30746976 is a wasteful number, since it uses less digits than its factorization.

30746976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 30746976 is about 5544.9955816033. The cubic root of 30746976 is about 313.2810576237.

It can be divided in two parts, 3074697 and 6, that added together give a palindrome (3074703).

The spelling of 30746976 in words is "thirty million, seven hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 347 416 426 568 624 694 852 923 1041 1136 1248 1388 1704 1846 2082 2272 2769 2776 3408 3692 4164 4511 5538 5552 6816 7384 8328 9022 11076 11104 13533 14768 16656 18044 22152 24637 27066 29536 33312 36088 44304 49274 54132 72176 73911 88608 98548 108264 144352 147822 197096 216528 295644 320281 394192 433056 591288 640562 788384 960843 1182576 1281124 1921686 2365152 2562248 3843372 5124496 7686744 10248992 15373488 30746976