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369998664 = 2337472997
BaseRepresentation
bin10110000011011…
…011101101001000
3221210012212202020
4112003123231020
51224204424124
6100414204440
712111636210
oct2603335510
9853185666
10369998664
1117a944522
12a3ab3720
135b868b29
14371d5240
1522739379
hex160dbb48

369998664 has 96 divisors (see below), whose sum is σ = 1081193280. Its totient is φ = 103360896.

The previous prime is 369998639. The next prime is 369998669. The reversal of 369998664 is 466899963.

It is a happy number.

It is a super-2 number, since 2×3699986642 = 273798022723569792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 369998598 and 369998607.

It is not an unprimeable number, because it can be changed into a prime (369998669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370614 + ... + 371610.

It is an arithmetic number, because the mean of its divisors is an integer number (11262430).

Almost surely, 2369998664 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 369998664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540596640).

369998664 is an abundant number, since it is smaller than the sum of its proper divisors (711194616).

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

369998664 is a wasteful number, since it uses less digits than its factorization.

369998664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1056 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The square root of 369998664 is about 19235.3493339736. The cubic root of 369998664 is about 717.9045711322.

The spelling of 369998664 in words is "three hundred sixty-nine million, nine hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 997 1128 1316 1974 1994 2209 2632 2991 3948 3988 4418 5982 6627 6979 7896 7976 8836 11964 13254 13958 15463 17672 20937 23928 26508 27916 30926 41874 46389 46859 53016 55832 61852 83748 92778 93718 123704 140577 167496 185556 187436 281154 328013 371112 374872 562308 656026 984039 1124616 1312052 1968078 2202373 2624104 3936156 4404746 6607119 7872312 8809492 13214238 15416611 17618984 26428476 30833222 46249833 52856952 61666444 92499666 123332888 184999332 369998664