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30412032 = 28375657
BaseRepresentation
bin111010000000…
…0110100000000
32010020002110120
41310000310000
530241141112
63003500240
7516332550
oct164006400
963202416
1030412032
1116192012
12a227680
1363ba6b1
144079160
152a0ae8c
hex1d00d00

30412032 has 72 divisors (see below), whose sum is σ = 92519616. Its totient is φ = 8687616.

The previous prime is 30412007. The next prime is 30412073. The reversal of 30412032 is 23021403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2548 + ... + 8204.

Almost surely, 230412032 is an apocalyptic number.

30412032 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 30412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46259808).

30412032 is an abundant number, since it is smaller than the sum of its proper divisors (62107584).

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

30412032 is an equidigital number, since it uses as much as digits as its factorization.

30412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30412032 is about 5514.7105091745. The cubic root of 30412032 is about 312.1393197647.

Adding to 30412032 its reverse (23021403), we get a palindrome (53433435).

The spelling of 30412032 in words is "thirty million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 5657 11314 16971 22628 33942 39599 45256 67884 79198 90512 118797 135768 158396 181024 237594 271536 316792 362048 475188 543072 633584 724096 950376 1086144 1267168 1448192 1900752 2172288 2534336 3801504 4344576 5068672 7603008 10137344 15206016 30412032