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30837312 = 26321131157
BaseRepresentation
bin111010110100…
…0101001000000
32011000200211200
41311220221000
530343243222
63020541200
7523053462
oct165505100
964020750
1030837312
1116452590
12a3b1800
13650913c
14414a132
152a91eac
hex1d68a40

30837312 has 168 divisors, whose sum is σ = 100169472. Its totient is φ = 8985600.

The previous prime is 30837307. The next prime is 30837341. The reversal of 30837312 is 21373803.

It is a super-2 number, since 2×308373122 = 1901879622770688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196338 + ... + 196494.

Almost surely, 230837312 is an apocalyptic number.

30837312 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 30837312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50084736).

30837312 is an abundant number, since it is smaller than the sum of its proper divisors (69332160).

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

30837312 is a wasteful number, since it uses less digits than its factorization.

30837312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30837312 is about 5553.1353306038. The cubic root of 30837312 is about 313.5875689228.

The spelling of 30837312 in words is "thirty million, eight hundred thirty-seven thousand, three hundred twelve".