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30399072 = 2531122617
BaseRepresentation
bin111001111110…
…1101001100000
32010012102200120
41303331221200
530240232242
63003320240
7516250014
oct163755140
963172616
1030399072
1116183300
12a220080
1363b4822
144074544
152a071ec
hex1cfda60

30399072 has 72 divisors (see below), whose sum is σ = 87744888. Its totient is φ = 9208320.

The previous prime is 30399071. The next prime is 30399073. The reversal of 30399072 is 27099303.

It is an interprime number because it is at equal distance from previous prime (30399071) and next prime (30399073).

It is a super-2 number, since 2×303990722 = 1848207156922368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30399071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10308 + ... + 12924.

It is an arithmetic number, because the mean of its divisors is an integer number (1218679).

Almost surely, 230399072 is an apocalyptic number.

30399072 is a gapful number since it is divisible by the number (32) 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 30399072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872444).

30399072 is an abundant number, since it is smaller than the sum of its proper divisors (57345816).

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

30399072 is a wasteful number, since it uses less digits than its factorization.

30399072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 30399072 is about 5513.5353449488. The cubic root of 30399072 is about 312.0949743737.

The spelling of 30399072 in words is "thirty million, three hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2617 2904 3872 5234 5808 7851 10468 11616 15702 20936 28787 31404 41872 57574 62808 83744 86361 115148 125616 172722 230296 251232 316657 345444 460592 633314 690888 921184 949971 1266628 1381776 1899942 2533256 2763552 3799884 5066512 7599768 10133024 15199536 30399072