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3455682012 = 22322313131859
BaseRepresentation
bin1100110111111001…
…1000010111011100
322220211110211112200
43031332120113130
524034123311022
61330523131500
7151430545446
oct31576302734
98824424480
103455682012
111513708052
12805373b90
13430c20573
1424ad43496
151535a5bac
hexcdf985dc

3455682012 has 72 divisors (see below), whose sum is σ = 9184855680. Its totient is φ = 1093366560.

The previous prime is 3455682011. The next prime is 3455682031. The reversal of 3455682012 is 2102865543.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455682011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92539 + ... + 124397.

It is an arithmetic number, because the mean of its divisors is an integer number (127567440).

Almost surely, 23455682012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455682012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592427840).

3455682012 is an abundant number, since it is smaller than the sum of its proper divisors (5729173668).

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

3455682012 is a wasteful number, since it uses less digits than its factorization.

3455682012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32023 (or 32018 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3455682012 is about 58785.0492217196. The cubic root of 3455682012 is about 1511.8588881073.

The spelling of 3455682012 in words is "three billion, four hundred fifty-five million, six hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 131 138 207 262 276 393 414 524 786 828 1179 1572 2358 3013 4716 6026 9039 12052 18078 27117 31859 36156 54234 63718 95577 108468 127436 191154 286731 382308 573462 732757 1146924 1465514 2198271 2931028 4173529 4396542 6594813 8347058 8793084 12520587 13189626 16694116 25041174 26379252 37561761 50082348 75123522 95991167 150247044 191982334 287973501 383964668 575947002 863920503 1151894004 1727841006 3455682012