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30137344 = 210191549
BaseRepresentation
bin111001011110…
…1110000000000
32002201010122221
41302331300000
530203343334
62553540424
7514106656
oct162756000
962633587
1030137344
11160146a6
12a114714
136322663
144006dd6
1529a48b4
hex1cbdc00

30137344 has 44 divisors (see below), whose sum is σ = 63457000. Its totient is φ = 14266368.

The previous prime is 30137339. The next prime is 30137347. The reversal of 30137344 is 44373103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30137347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18682 + ... + 20230.

Almost surely, 230137344 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 30137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31728500).

30137344 is an abundant number, since it is smaller than the sum of its proper divisors (33319656).

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

30137344 is a wasteful number, since it uses less digits than its factorization.

30137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 30137344 is about 5489.7489924404. The cubic root of 30137344 is about 311.1967063046.

The spelling of 30137344 in words is "thirty million, one hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 1549 2432 3098 4864 6196 9728 12392 19456 24784 29431 49568 58862 99136 117724 198272 235448 396544 470896 793088 941792 1586176 1883584 3767168 7534336 15068672 30137344