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30416568 = 23371319733
BaseRepresentation
bin111010000000…
…1111010111000
32010020022200120
41310001322320
530241312233
63003533240
7516352020
oct164017270
963208616
1030416568
1116195466
12a22a220
1363bc790
14407aa80
152a0c4b3
hex1d01eb8

30416568 has 128 divisors (see below), whose sum is σ = 98649600. Its totient is φ = 7589376.

The previous prime is 30416537. The next prime is 30416591. The reversal of 30416568 is 86561403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41130 + ... + 41862.

It is an arithmetic number, because the mean of its divisors is an integer number (770700).

Almost surely, 230416568 is an apocalyptic number.

30416568 is a gapful number since it is divisible by the number (38) 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 30416568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49324800).

30416568 is an abundant number, since it is smaller than the sum of its proper divisors (68233032).

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

30416568 is a wasteful number, since it uses less digits than its factorization.

30416568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 30416568 is about 5515.1217574955. The cubic root of 30416568 is about 312.1548376752.

The spelling of 30416568 in words is "thirty million, four hundred sixteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 733 741 798 988 1064 1092 1466 1482 1596 1729 1976 2184 2199 2932 2964 3192 3458 4398 5131 5187 5864 5928 6916 8796 9529 10262 10374 13832 13927 15393 17592 19058 20524 20748 27854 28587 30786 38116 41048 41496 41781 55708 57174 61572 66703 76232 83562 97489 111416 114348 123144 133406 167124 181051 194978 200109 228696 266812 292467 334248 362102 389956 400218 533624 543153 584934 724204 779912 800436 1086306 1169868 1267357 1448408 1600872 2172612 2339736 2534714 3802071 4345224 5069428 7604142 10138856 15208284 30416568