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30370896 = 2433229307
BaseRepresentation
bin111001111011…
…0110001010000
32010011000001000
41303312301100
530233332041
63002542000
7516101613
oct163666120
963130030
1030370896
1116164116
12a207900
1363a4a5a
14406817a
1529edbb6
hex1cf6c50

30370896 has 80 divisors (see below), whose sum is σ = 87841600. Its totient is φ = 10046592.

The previous prime is 30370877. The next prime is 30370903. The reversal of 30370896 is 69807303.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30370896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98775 + ... + 99081.

It is an arithmetic number, because the mean of its divisors is an integer number (1098020).

Almost surely, 230370896 is an apocalyptic number.

30370896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30370896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920800).

30370896 is an abundant number, since it is smaller than the sum of its proper divisors (57470704).

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

30370896 is a wasteful number, since it uses less digits than its factorization.

30370896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30370896 is about 5510.9795862442. The cubic root of 30370896 is about 311.9985207030.

The spelling of 30370896 in words is "thirty million, three hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 307 432 458 614 687 916 921 1228 1374 1832 1842 2061 2456 2748 2763 3664 3684 4122 4912 5496 5526 6183 7368 8244 8289 10992 11052 12366 14736 16488 16578 22104 24732 32976 33156 44208 49464 66312 70303 98928 132624 140606 210909 281212 421818 562424 632727 843636 1124848 1265454 1687272 1898181 2530908 3374544 3796362 5061816 7592724 10123632 15185448 30370896