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30655968 = 2537519
BaseRepresentation
bin111010011110…
…0010111100000
32010200111002020
41310330113200
530321442333
63013021440
7521400000
oct164742740
963614066
1030655968
1116339312
12a324880
136474735
144100000
152a583b3
hex1d3c5e0

30655968 has 144 divisors (see below), whose sum is σ = 98824320. Its totient is φ = 8297856.

The previous prime is 30655939. The next prime is 30655969. The reversal of 30655968 is 86955603.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30655969) 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 23 ways as a sum of consecutive naturals, for example, 1613463 + ... + 1613481.

It is an arithmetic number, because the mean of its divisors is an integer number (686280).

Almost surely, 230655968 is an apocalyptic number.

30655968 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 30655968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412160).

30655968 is an abundant number, since it is smaller than the sum of its proper divisors (68168352).

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

30655968 is an frugal number, since it uses more digits than its factorization.

30655968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 30655968 is about 5536.7831815956. The cubic root of 30655968 is about 312.9716585375.

The spelling of 30655968 in words is "thirty million, six hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 343 392 399 456 532 588 608 672 686 784 798 912 931 1029 1064 1176 1372 1568 1596 1824 1862 2058 2128 2352 2401 2744 2793 3192 3724 4116 4256 4704 4802 5488 5586 6384 6517 7203 7448 8232 9604 10976 11172 12768 13034 14406 14896 16464 16807 19208 19551 22344 26068 28812 29792 32928 33614 38416 39102 44688 45619 50421 52136 57624 67228 76832 78204 89376 91238 100842 104272 115248 134456 136857 156408 182476 201684 208544 230496 268912 273714 312816 319333 364952 403368 537824 547428 625632 638666 729904 806736 957999 1094856 1277332 1459808 1613472 1915998 2189712 2554664 3831996 4379424 5109328 7663992 10218656 15327984 30655968