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1684645032 = 2337192918199
BaseRepresentation
bin110010001101001…
…1010010010101000
311100101221211112110
41210122122102220
511422232120112
6435055442320
756514150360
oct14432322250
94311854473
101684645032
11794a35824
123b02263a0
1320b0314a5
1411da499a0
159cd6e13c
hex6469a4a8

1684645032 has 128 divisors (see below), whose sum is σ = 5241600000. Its totient is φ = 440246016.

The previous prime is 1684645009. The next prime is 1684645037. The reversal of 1684645032 is 2305464861.

It is not an unprimeable number, because it can be changed into a prime (1684645037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83469 + ... + 101667.

It is an arithmetic number, because the mean of its divisors is an integer number (40950000).

Almost surely, 21684645032 is an apocalyptic number.

1684645032 is a gapful number since it is divisible by the number (12) 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 1684645032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800000).

1684645032 is an abundant number, since it is smaller than the sum of its proper divisors (3556954968).

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

1684645032 is a wasteful number, since it uses less digits than its factorization.

1684645032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263 (or 18259 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1684645032 is about 41044.4275389486. The cubic root of 1684645032 is about 1189.8790056583.

The spelling of 1684645032 in words is "one billion, six hundred eighty-four million, six hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 228 232 266 348 399 406 456 532 551 609 696 798 812 1064 1102 1218 1596 1624 1653 2204 2436 3192 3306 3857 4408 4872 6612 7714 11571 13224 15428 18199 23142 30856 36398 46284 54597 72796 92568 109194 127393 145592 218388 254786 345781 382179 436776 509572 527771 691562 764358 1019144 1037343 1055542 1383124 1528716 1583313 2074686 2111084 2420467 2766248 3057432 3166626 3694397 4149372 4222168 4840934 6333252 7261401 7388794 8298744 9681868 10027649 11083191 12666504 14522802 14777588 19363736 20055298 22166382 29045604 29555176 30082947 40110596 44332764 58091208 60165894 70193543 80221192 88665528 120331788 140387086 210580629 240663576 280774172 421161258 561548344 842322516 1684645032