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30346768 = 2417315961
BaseRepresentation
bin111001111000…
…0111000010000
32010002202221101
41303300320100
530232044033
63002234144
7515641354
oct163607020
963082841
1030346768
1116147a81
12a1b5954
136396a8a
14405d464
1529e697d
hex1cf0e10

30346768 has 80 divisors (see below), whose sum is σ = 66424320. Its totient is φ = 13363200.

The previous prime is 30346747. The next prime is 30346769. The reversal of 30346768 is 86764303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30346769) by changing a digit.

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, 497458 + ... + 497518.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 230346768 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 30346768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212160).

30346768 is an abundant number, since it is smaller than the sum of its proper divisors (36077552).

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

30346768 is a wasteful number, since it uses less digits than its factorization.

30346768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 30346768 is about 5508.7900667933. The cubic root of 30346768 is about 311.9158769478.

The spelling of 30346768 in words is "thirty million, three hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 34 59 61 62 68 118 122 124 136 236 244 248 272 472 488 496 527 944 976 1003 1037 1054 1829 1891 2006 2074 2108 3599 3658 3782 4012 4148 4216 7198 7316 7564 8024 8296 8432 14396 14632 15128 16048 16592 28792 29264 30256 31093 32147 57584 61183 62186 64294 111569 122366 124372 128588 223138 244732 248744 257176 446276 489464 497488 514352 892552 978928 1785104 1896673 3793346 7586692 15173384 30346768