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30814260 = 22352412131
BaseRepresentation
bin111010110001…
…1000000110100
32010222112012220
41311203000310
530342024020
63020242340
7522626331
oct165430064
963875186
1030814260
1116437234
12a3a03b0
1364cb7b9
144141988
152a8a240
hex1d63034

30814260 has 48 divisors (see below), whose sum is σ = 86678592. Its totient is φ = 8179200.

The previous prime is 30814237. The next prime is 30814261. The reversal of 30814260 is 6241803.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30814260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30814261) 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, 13395 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (1805804).

Almost surely, 230814260 is an apocalyptic number.

30814260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30814260 is an abundant number, since it is smaller than the sum of its proper divisors (55864332).

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

30814260 is a wasteful number, since it uses less digits than its factorization.

30814260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30814260 is about 5551.0593583567. The cubic root of 30814260 is about 313.5094101146.

The spelling of 30814260 in words is "thirty million, eight hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2131 2410 2892 3615 4262 4820 6393 7230 8524 10655 12786 14460 21310 25572 31965 42620 63930 127860 513571 1027142 1540713 2054284 2567855 3081426 5135710 6162852 7703565 10271420 15407130 30814260