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3457642356 = 2233717326437
BaseRepresentation
bin1100111000010111…
…0110111101110100
322220222011102122000
43032011312331310
524040124023411
61331033135300
7151453321650
oct31605667564
98828142560
103457642356
111514826973
12805b5a530
1343145892c
1424b2d3a60
15153841956
hexce176f74

3457642356 has 96 divisors (see below), whose sum is σ = 10304474880. Its totient is φ = 982150272.

The previous prime is 3457642343. The next prime is 3457642361. The reversal of 3457642356 is 6532467543.

3457642356 is a `hidden beast` number, since 3 + 4 + 576 + 4 + 23 + 56 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117570 + ... + 144006.

It is an arithmetic number, because the mean of its divisors is an integer number (107338280).

Almost surely, 23457642356 is an apocalyptic number.

3457642356 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 3457642356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152237440).

3457642356 is an abundant number, since it is smaller than the sum of its proper divisors (6846832524).

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

3457642356 is a wasteful number, since it uses less digits than its factorization.

3457642356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26630 (or 26622 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The square root of 3457642356 is about 58801.7206891091. The cubic root of 3457642356 is about 1512.1447171889.

The spelling of 3457642356 in words is "three billion, four hundred fifty-seven million, six hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 173 189 252 346 378 519 692 756 1038 1211 1557 2076 2422 3114 3633 4671 4844 6228 7266 9342 10899 14532 18684 21798 26437 32697 43596 52874 65394 79311 105748 130788 158622 185059 237933 317244 370118 475866 555177 713799 740236 951732 1110354 1427598 1665531 2220708 2855196 3331062 4573601 4996593 6662124 9147202 9993186 13720803 18294404 19986372 27441606 32015207 41162409 54883212 64030414 82324818 96045621 123487227 128060828 164649636 192091242 246974454 288136863 384182484 493948908 576273726 864410589 1152547452 1728821178 3457642356