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30629328 = 2431135647
BaseRepresentation
bin111010011010…
…1110111010000
32010122010112120
41310311313100
530320114303
63012254240
7521226222
oct164656720
963563476
1030629328
11163202a4
12a311380
136465582
1440d4412
152a50553
hex1d35dd0

30629328 has 40 divisors (see below), whose sum is σ = 79840128. Its totient is φ = 10117632.

The previous prime is 30629321. The next prime is 30629411. The reversal of 30629328 is 82392603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30629321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601 + ... + 8247.

Almost surely, 230629328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30629328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39920064).

30629328 is an abundant number, since it is smaller than the sum of its proper divisors (49210800).

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

30629328 is a wasteful number, since it uses less digits than its factorization.

30629328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 30629328 is about 5534.3769297004. The cubic root of 30629328 is about 312.8809749305.

The spelling of 30629328 in words is "thirty million, six hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 5647 11294 16941 22588 33882 45176 67764 90352 135528 271056 638111 1276222 1914333 2552444 3828666 5104888 7657332 10209776 15314664 30629328