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3212108856 = 2332114798467
BaseRepresentation
bin1011111101110100…
…1110010000111000
322021212011000222200
42333131032100320
523034244440411
61250422350200
7142412321565
oct27735162070
98255130880
103212108856
1113a9173a20
1275788b360
133c261b238
1422685b86c
1513bee0e56
hexbf74e438

3212108856 has 96 divisors (see below), whose sum is σ = 9511257600. Its totient is φ = 971219520.

The previous prime is 3212108839. The next prime is 3212108899. The reversal of 3212108856 is 6588012123.

It is a happy number.

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 3212108856.

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, 375135 + ... + 383601.

It is an arithmetic number, because the mean of its divisors is an integer number (99075600).

Almost surely, 23212108856 is an apocalyptic number.

3212108856 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 3212108856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755628800).

3212108856 is an abundant number, since it is smaller than the sum of its proper divisors (6299148744).

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

3212108856 is a wasteful number, since it uses less digits than its factorization.

3212108856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3212108856 is about 56675.4696142873. The cubic root of 3212108856 is about 1475.4689851776.

The spelling of 3212108856 in words is "three billion, two hundred twelve million, one hundred eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 479 792 958 1437 1916 2874 3832 4311 5269 5748 8467 8622 10538 11496 15807 16934 17244 21076 25401 31614 33868 34488 42152 47421 50802 63228 67736 76203 93137 94842 101604 126456 152406 186274 189684 203208 279411 304812 372548 379368 558822 609624 745096 838233 1117644 1676466 2235288 3352932 4055693 6705864 8111386 12167079 16222772 24334158 32445544 36501237 44612623 48668316 73002474 89225246 97336632 133837869 146004948 178450492 267675738 292009896 356900984 401513607 535351476 803027214 1070702952 1606054428 3212108856