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30914928 = 24321129673
BaseRepresentation
bin111010111101…
…1100101110000
32011011122022100
41311323211300
530403234203
63022340400
7523525662
oct165734560
964148270
1030914928
11164a5930
12a42a700
136535575
14416a532
152aa9ea3
hex1d7b970

30914928 has 120 divisors (see below), whose sum is σ = 97783920. Its totient is φ = 9031680.

The previous prime is 30914909. The next prime is 30914963. The reversal of 30914928 is 82941903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30914892 and 30914901.

It is a congruent number.

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, 45600 + ... + 46272.

It is an arithmetic number, because the mean of its divisors is an integer number (814866).

Almost surely, 230914928 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 30914928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48891960).

30914928 is an abundant number, since it is smaller than the sum of its proper divisors (66868992).

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

30914928 is a wasteful number, since it uses less digits than its factorization.

30914928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 30914928 is about 5560.1194231779. The cubic root of 30914928 is about 313.8504433359.

The spelling of 30914928 in words is "thirty million, nine hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 673 696 792 957 1044 1276 1346 1392 1584 1914 2019 2088 2552 2692 2871 3828 4038 4176 5104 5384 5742 6057 7403 7656 8076 10768 11484 12114 14806 15312 16152 19517 22209 22968 24228 29612 32304 39034 44418 45936 48456 58551 59224 66627 78068 88836 96912 117102 118448 133254 156136 175653 177672 214687 234204 266508 312272 351306 355344 429374 468408 533016 644061 702612 858748 936816 1066032 1288122 1405224 1717496 1932183 2576244 2810448 3434992 3864366 5152488 7728732 10304976 15457464 30914928