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30339072 = 21232823
BaseRepresentation
bin111001110111…
…1000000000000
32010002101101100
41303233000000
530231322242
63002134400
7515610051
oct163570000
963071340
1030339072
1116142215
12a1b1400
13639341a
14405a728
1529e454c
hex1cef000

30339072 has 78 divisors (see below), whose sum is σ = 87741992. Its totient is φ = 10100736.

The previous prime is 30339041. The next prime is 30339077. The reversal of 30339072 is 27093303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30339077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36453 + ... + 37275.

Almost surely, 230339072 is an apocalyptic number.

30339072 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 30339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43870996).

30339072 is an abundant number, since it is smaller than the sum of its proper divisors (57402920).

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

30339072 is an equidigital number, since it uses as much as digits as its factorization.

30339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 30339072 is about 5508.0915025079. The cubic root of 30339072 is about 311.8895072254.

The spelling of 30339072 in words is "thirty million, three hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 823 1024 1152 1536 1646 2048 2304 2469 3072 3292 4096 4608 4938 6144 6584 7407 9216 9876 12288 13168 14814 18432 19752 26336 29628 36864 39504 52672 59256 79008 105344 118512 158016 210688 237024 316032 421376 474048 632064 842752 948096 1264128 1685504 1896192 2528256 3371008 3792384 5056512 7584768 10113024 15169536 30339072