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30234816 = 263317497
BaseRepresentation
bin111001101010…
…1100011000000
32002220002101000
41303111203000
530220003231
63000012000
7514664103
oct163254300
962802330
1030234816
1116080957
12a161000
136357b31
14403073a
1529c36e6
hex1cd58c0

30234816 has 56 divisors (see below), whose sum is σ = 88889840. Its totient is φ = 10077696.

The previous prime is 30234797. The next prime is 30234817. The reversal of 30234816 is 61843203.

It is a happy number.

30234816 is a `hidden beast` number, since 302 + 348 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30234816.

It is not an unprimeable number, because it can be changed into a prime (30234817) 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 7 ways as a sum of consecutive naturals, for example, 7021 + ... + 10476.

Almost surely, 230234816 is an apocalyptic number.

30234816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30234816 is an abundant number, since it is smaller than the sum of its proper divisors (58655024).

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

30234816 is a wasteful number, since it uses less digits than its factorization.

30234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17518 (or 17502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30234816 is about 5498.6194631016. The cubic root of 30234816 is about 311.5318422567.

The spelling of 30234816 in words is "thirty million, two hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 17497 34994 52491 69988 104982 139976 157473 209964 279952 314946 419928 472419 559904 629892 839856 944838 1119808 1259784 1679712 1889676 2519568 3359424 3779352 5039136 7558704 10078272 15117408 30234816