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3674686320 = 2432546111071
BaseRepresentation
bin1101101100000111…
…0100001101110000
3100111002120101222100
43123001310031300
530011204430240
61404345140400
7160030214124
oct33301641560
910432511870
103674686320
1116162a0248
1286678a700
134673cca06
1426c071584
15167915e30
hexdb074370

3674686320 has 120 divisors (see below), whose sum is σ = 12368708352. Its totient is φ = 977702400.

The previous prime is 3674686271. The next prime is 3674686349. The reversal of 3674686320 is 236864763.

3674686320 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 6 + 8 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326385 + ... + 337455.

Almost surely, 23674686320 is an apocalyptic number.

3674686320 is a gapful number since it is divisible by the number (30) 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 3674686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184354176).

3674686320 is an abundant number, since it is smaller than the sum of its proper divisors (8694022032).

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

3674686320 is a wasteful number, since it uses less digits than its factorization.

3674686320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3674686320 is about 60619.1910206661. The cubic root of 3674686320 is about 1543.1450764790.

The spelling of 3674686320 in words is "three billion, six hundred seventy-four million, six hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 461 720 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 7376 8298 9220 11064 11071 13830 16596 18440 20745 22128 22142 27660 33192 33213 36880 41490 44284 55320 55355 66384 66426 82980 88568 99639 110640 110710 132852 165960 166065 177136 199278 221420 265704 331920 332130 398556 442840 498195 531408 664260 797112 885680 996390 1328520 1594224 1992780 2657040 3985560 5103731 7971120 10207462 15311193 20414924 25518655 30622386 40829848 45933579 51037310 61244772 76555965 81659696 91867158 102074620 122489544 153111930 183734316 204149240 229667895 244979088 306223860 367468632 408298480 459335790 612447720 734937264 918671580 1224895440 1837343160 3674686320