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30664656 = 243611239
BaseRepresentation
bin111010011111…
…0011111010000
32010200221000000
41310332133100
530322232111
63013130000
7521434221
oct164763720
963627000
1030664656
11163448a0
12a329900
136478689
144103248
152a5ac56
hex1d3e7d0

30664656 has 140 divisors (see below), whose sum is σ = 97583040. Its totient is φ = 9253440.

The previous prime is 30664637. The next prime is 30664657. The reversal of 30664656 is 65646603.

30664656 is a `hidden beast` number, since 3 + 0 + 6 + 646 + 5 + 6 = 666.

It is a super-2 number, since 2×306646562 = 1880642255196672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30664656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30664657) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128185 + ... + 128423.

Almost surely, 230664656 is an apocalyptic number.

30664656 is a gapful number since it is divisible by the number (36) 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 30664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48791520).

30664656 is an abundant number, since it is smaller than the sum of its proper divisors (66918384).

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

30664656 is a wasteful number, since it uses less digits than its factorization.

30664656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 30664656 is about 5537.5676971031. The cubic root of 30664656 is about 313.0012214701.

The spelling of 30664656 in words is "thirty million, six hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 239 243 264 297 324 396 432 478 486 528 594 648 717 729 792 891 956 972 1188 1296 1434 1458 1584 1782 1912 1944 2151 2376 2629 2673 2868 2916 3564 3824 3888 4302 4752 5258 5346 5736 5832 6453 7128 7887 8019 8604 10516 10692 11472 11664 12906 14256 15774 16038 17208 19359 21032 21384 23661 25812 31548 32076 34416 38718 42064 42768 47322 51624 58077 63096 64152 70983 77436 94644 103248 116154 126192 128304 141966 154872 174231 189288 212949 232308 283932 309744 348462 378576 425898 464616 567864 638847 696924 851796 929232 1135728 1277694 1393848 1703592 1916541 2555388 2787696 3407184 3833082 5110776 7666164 10221552 15332328 30664656