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30419968 = 21061487
BaseRepresentation
bin111010000001…
…0110000000000
32010020111100111
41310002300000
530241414333
63004001104
7516364645
oct164026000
963214314
1030419968
1116197a77
12a230194
1363c11a7
14407bdcc
152a0d4cd
hex1d02c00

30419968 has 44 divisors (see below), whose sum is σ = 61934032. Its totient is φ = 14929920.

The previous prime is 30419941. The next prime is 30419971. The reversal of 30419968 is 86991403.

It is a self number, because there is not a number n which added to its sum of digits gives 30419968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62221 + ... + 62707.

Almost surely, 230419968 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 30419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30967016).

30419968 is an abundant number, since it is smaller than the sum of its proper divisors (31514064).

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

30419968 is an equidigital number, since it uses as much as digits as its factorization.

30419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 30419968 is about 5515.4299923034. The cubic root of 30419968 is about 312.1664682544.

The spelling of 30419968 in words is "thirty million, four hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 487 488 512 974 976 1024 1948 1952 3896 3904 7792 7808 15584 15616 29707 31168 31232 59414 62336 62464 118828 124672 237656 249344 475312 498688 950624 1901248 3802496 7604992 15209984 30419968