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3971274240 = 2935717283
BaseRepresentation
bin1110110010110100…
…1101011000000000
3101020202122122010010
43230231031120000
531113121233430
61454022104520
7200261163003
oct35455153000
911222578103
103971274240
11175875412a
12929b7b140
134b39a471b
142995d753a
1518399dcb0
hexecb4d600

3971274240 has 160 divisors (see below), whose sum is σ = 12876247296. Its totient is φ = 1043947520.

The previous prime is 3971274221. The next prime is 3971274271. The reversal of 3971274240 is 424721793.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541639 + ... + 548921.

Almost surely, 23971274240 is an apocalyptic number.

3971274240 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 3971274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438123648).

3971274240 is an abundant number, since it is smaller than the sum of its proper divisors (8904973056).

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

3971274240 is an equidigital number, since it uses as much as digits as its factorization.

3971274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 3971274240 is about 63018.0469389523. The cubic root of 3971274240 is about 1583.5919773470.

The spelling of 3971274240 in words is "three billion, nine hundred seventy-one million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 512 568 640 710 768 852 960 1065 1136 1280 1420 1536 1704 1920 2130 2272 2560 2840 3408 3840 4260 4544 5680 6816 7283 7680 8520 9088 11360 13632 14566 17040 18176 21849 22720 27264 29132 34080 36352 36415 43698 45440 54528 58264 68160 72830 87396 90880 109056 109245 116528 136320 145660 174792 181760 218490 233056 272640 291320 349584 436980 466112 517093 545280 582640 699168 873960 932224 1034186 1165280 1398336 1551279 1747920 1864448 2068372 2330560 2585465 2796672 3102558 3495840 3728896 4136744 4661120 5170930 5593344 6205116 6991680 7756395 8273488 9322240 10341860 11186688 12410232 13983360 15512790 16546976 18644480 20683720 24820464 27966720 31025580 33093952 41367440 49640928 55933440 62051160 66187904 82734880 99281856 124102320 132375808 165469760 198563712 248204640 264751616 330939520 397127424 496409280 661879040 794254848 992818560 1323758080 1985637120 3971274240