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3412564236 = 22331961137199
BaseRepresentation
bin1100101101100111…
…1001100100001100
322210211100020002000
43023121321210030
523442104023421
61322343032300
7150365213604
oct31331714414
98724306060
103412564236
1114a1338024
127b2a3b690
134250048a3
1424531bc04
1514e8da226
hexcb67990c

3412564236 has 192 divisors, whose sum is σ = 9582720000. Its totient is φ = 1046960640.

The previous prime is 3412564231. The next prime is 3412564249. The reversal of 3412564236 is 6324652143.

3412564236 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 5 + 642 + 3 + 6 = 666.

3412564236 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 3412564236.

It is not an unprimeable number, because it can be changed into a prime (3412564231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17148465 + ... + 17148663.

It is an arithmetic number, because the mean of its divisors is an integer number (49910000).

Almost surely, 23412564236 is an apocalyptic number.

3412564236 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 3412564236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791360000).

3412564236 is an abundant number, since it is smaller than the sum of its proper divisors (6170155764).

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

3412564236 is a wasteful number, since it uses less digits than its factorization.

3412564236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3412564236 is about 58417.1570345562. The cubic root of 3412564236 is about 1505.5445520431.

The spelling of 3412564236 in words is "three billion, four hundred twelve million, five hundred sixty-four thousand, two hundred thirty-six".