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30614640 = 2435718223
BaseRepresentation
bin111010011001…
…0010001110000
32010121101101120
41310302101300
530314132030
63012102240
7521135340
oct164622160
963541346
1030614640
1116310261
12a304980
13645b994
1440ccd20
152a4b010
hex1d32470

30614640 has 80 divisors (see below), whose sum is σ = 108469248. Its totient is φ = 6997248.

The previous prime is 30614627. The next prime is 30614641. The reversal of 30614640 is 4641603.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30614640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30614641) 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, 7432 + ... + 10791.

Almost surely, 230614640 is an apocalyptic number.

30614640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30614640 is an abundant number, since it is smaller than the sum of its proper divisors (77854608).

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

30614640 is a wasteful number, since it uses less digits than its factorization.

30614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30614640 is about 5533.0497919321. The cubic root of 30614640 is about 312.8309539120.

The spelling of 30614640 in words is "thirty million, six hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 18223 36446 54669 72892 91115 109338 127561 145784 182230 218676 255122 273345 291568 364460 382683 437352 510244 546690 637805 728920 765366 874704 1020488 1093380 1275610 1457840 1530732 1913415 2040976 2186760 2551220 3061464 3826830 4373520 5102440 6122928 7653660 10204880 15307320 30614640