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3456016452 = 22327213071499
BaseRepresentation
bin1100110111111110…
…1010000001000100
322220212002211022100
43031333222001010
524034220011302
61330534232100
7151433440500
oct31577520104
98825084270
103456016452
111513916349
128054b5630
13431009865
1424adcd300
1515361ed1c
hexcdfea044

3456016452 has 108 divisors (see below), whose sum is σ = 10176894000. Its totient is φ = 986019552.

The previous prime is 3456016451. The next prime is 3456016469. The reversal of 3456016452 is 2546106543.

3456016452 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 0 + 1 + 645 + 2 = 666.

3456016452 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (3456016451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2304799 + ... + 2306297.

It is an arithmetic number, because the mean of its divisors is an integer number (94230500).

Almost surely, 23456016452 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 3456016452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088447000).

3456016452 is an abundant number, since it is smaller than the sum of its proper divisors (6720877548).

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

3456016452 is a wasteful number, since it uses less digits than its factorization.

3456016452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3456016452 is about 58787.8937537313. The cubic root of 3456016452 is about 1511.9076589697.

Subtracting from 3456016452 its reverse (2546106543), we obtain a palindrome (909909909).

The spelling of 3456016452 in words is "three billion, four hundred fifty-six million, sixteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1307 1499 1764 2614 2998 3921 4497 5228 5996 7842 8994 9149 10493 11763 13491 15684 17988 18298 20986 23526 26982 27447 31479 36596 41972 47052 53964 54894 62958 64043 73451 82341 94437 109788 125916 128086 146902 164682 188874 192129 220353 256172 293804 329364 377748 384258 440706 576387 661059 768516 881412 1152774 1322118 1959193 2305548 2644236 3918386 5877579 7836772 11755158 13714351 17632737 23510316 27428702 35265474 41143053 54857404 70530948 82286106 96000457 123429159 164572212 192000914 246858318 288001371 384001828 493716636 576002742 864004113 1152005484 1728008226 3456016452