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3314570112 = 27337223237
BaseRepresentation
bin1100010110010000…
…0101001110000000
322112222221121102000
43011210011032000
523242012220422
61304522424000
7145065244500
oct30544051600
98488847360
103314570112
111450a96647
12786062000
1340a9140b9
142362cda00
15145ececac
hexc5905380

3314570112 has 576 divisors, whose sum is σ = 12217539600. Its totient is φ = 881362944.

The previous prime is 3314570107. The next prime is 3314570173. The reversal of 3314570112 is 2110754133.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89582958 + ... + 89582994.

Almost surely, 23314570112 is an apocalyptic number.

3314570112 is a gapful number since it is divisible by the number (32) 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 3314570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108769800).

3314570112 is an abundant number, since it is smaller than the sum of its proper divisors (8902969488).

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

3314570112 is a wasteful number, since it uses less digits than its factorization.

3314570112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3314570112 is about 57572.3033411032. The cubic root of 3314570112 is about 1490.9934536511.

The spelling of 3314570112 in words is "three billion, three hundred fourteen million, five hundred seventy thousand, one hundred twelve".