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30357712 = 2471141601
BaseRepresentation
bin111001111001…
…1100011010000
32010010022221201
41303303203100
530232421322
63002400544
7516015310
oct163634320
963108851
1030357712
1116155220
12a200154
13639ba58
144063440
1529e9d27
hex1cf38d0

30357712 has 80 divisors (see below), whose sum is σ = 75245184. Its totient is φ = 11520000.

The previous prime is 30357667. The next prime is 30357713. The reversal of 30357712 is 21775303.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30357713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50212 + ... + 50812.

Almost surely, 230357712 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 30357712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622592).

30357712 is an abundant number, since it is smaller than the sum of its proper divisors (44887472).

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

30357712 is a wasteful number, since it uses less digits than its factorization.

30357712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 30357712 is about 5509.7832988240. The cubic root of 30357712 is about 311.9533680033.

The spelling of 30357712 in words is "thirty million, three hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 601 616 656 902 1148 1202 1232 1804 2296 2404 3157 3608 4207 4592 4808 6314 6611 7216 8414 9616 12628 13222 16828 24641 25256 26444 33656 46277 49282 50512 52888 67312 92554 98564 105776 172487 185108 197128 271051 344974 370216 394256 542102 689948 740432 1084204 1379896 1897357 2168408 2759792 3794714 4336816 7589428 15178856 30357712