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3991336320 = 27357328477
BaseRepresentation
bin1110110111100110…
…1111010110000000
3101022011101220010010
43231321233112000
531133240230240
61500020104520
7200623541016
oct35571572600
911264356103
103991336320
111769007064
12934835140
134b7baa18a
1429c13a8b6
15185613280
hexede6f580

3991336320 has 128 divisors (see below), whose sum is σ = 12897116640. Its totient is φ = 1049739264.

The previous prime is 3991336319. The next prime is 3991336331. The reversal of 3991336320 is 236331993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×39913363202 = 31861531238702284800, which contains 22 as substring.

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, 125922 + ... + 154398.

Almost surely, 23991336320 is an apocalyptic number.

3991336320 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 3991336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448558320).

3991336320 is an abundant number, since it is smaller than the sum of its proper divisors (8905780320).

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

3991336320 is a wasteful number, since it uses less digits than its factorization.

3991336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28572 (or 28560 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 39.

The square root of 3991336320 is about 63177.0236715849. The cubic root of 3991336320 is about 1586.2541623167.

The spelling of 3991336320 in words is "three billion, nine hundred ninety-one million, three hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2190 2336 2920 3504 4380 4672 5840 7008 8760 9344 11680 14016 17520 23360 28032 28477 35040 46720 56954 70080 85431 113908 140160 142385 170862 227816 284770 341724 427155 455632 569540 683448 854310 911264 1139080 1366896 1708620 1822528 2078821 2278160 2733792 3417240 3645056 4157642 4556320 5467584 6236463 6834480 8315284 9112640 10394105 10935168 12472926 13668960 16630568 18225280 20788210 24945852 27337920 31182315 33261136 41576420 49891704 54675840 62364630 66522272 83152840 99783408 124729260 133044544 166305680 199566816 249458520 266089088 332611360 399133632 498917040 665222720 798267264 997834080 1330445440 1995668160 3991336320