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30439368 = 2333197417
BaseRepresentation
bin111010000011…
…1011111001000
32010021110222000
41310013133020
530243024433
63004231000
7516505341
oct164073710
963243860
1030439368
1116200603
12a23b460
1363c9c7b
1440850c8
152a14113
hex1d077c8

30439368 has 64 divisors (see below), whose sum is σ = 89016000. Its totient is φ = 9611136.

The previous prime is 30439363. The next prime is 30439391. The reversal of 30439368 is 86393403.

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

It is not an unprimeable number, because it can be changed into a prime (30439361) by changing a digit.

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, 396 + ... + 7812.

It is an arithmetic number, because the mean of its divisors is an integer number (1390875).

Almost surely, 230439368 is an apocalyptic number.

30439368 is a gapful number since it is divisible by the number (38) 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 30439368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44508000).

30439368 is an abundant number, since it is smaller than the sum of its proper divisors (58576632).

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

30439368 is a wasteful number, since it uses less digits than its factorization.

30439368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30439368 is about 5517.1884144009. The cubic root of 30439368 is about 312.2328143964.

The spelling of 30439368 in words is "thirty million, four hundred thirty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 7417 14834 22251 29668 44502 59336 66753 89004 133506 140923 178008 200259 267012 281846 400518 422769 534024 563692 801036 845538 1127384 1268307 1602072 1691076 2536614 3382152 3804921 5073228 7609842 10146456 15219684 30439368