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30414264 = 2334759457
BaseRepresentation
bin111010000000…
…1010110111000
32010020012112020
41310001112320
530241224024
63003514440
7516342216
oct164012670
963205466
1030414264
1116193761
12a228a20
1363bb70a
144079cb6
152a0b979
hex1d015b8

30414264 has 64 divisors (see below), whose sum is σ = 79142400. Its totient is φ = 9732864.

The previous prime is 30414233. The next prime is 30414281. The reversal of 30414264 is 46241403.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 66324 + ... + 66780.

It is an arithmetic number, because the mean of its divisors is an integer number (1236600).

Almost surely, 230414264 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 30414264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39571200).

30414264 is an abundant number, since it is smaller than the sum of its proper divisors (48728136).

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

30414264 is a wasteful number, since it uses less digits than its factorization.

30414264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30414264 is about 5514.9128732918. The cubic root of 30414264 is about 312.1469557548.

Adding to 30414264 its reverse (46241403), we get a palindrome (76655667).

The spelling of 30414264 in words is "thirty million, four hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 59 94 118 141 177 188 236 282 354 376 457 472 564 708 914 1128 1371 1416 1828 2742 2773 3656 5484 5546 8319 10968 11092 16638 21479 22184 26963 33276 42958 53926 64437 66552 80889 85916 107852 128874 161778 171832 215704 257748 323556 515496 647112 1267261 2534522 3801783 5069044 7603566 10138088 15207132 30414264