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3991031240 = 2357432111571
BaseRepresentation
bin1110110111100010…
…0100110111001000
3101022010211101121212
43231320210313020
531133200444430
61500005352252
7200621130410
oct35570446710
911263741555
103991031240
111768918929
12934708688
134b7b01361
1429c09b640
151855a2b95
hexede24dc8

3991031240 has 128 divisors (see below), whose sum is σ = 10557803520. Its totient is φ = 1329350400.

The previous prime is 3991031227. The next prime is 3991031279. The reversal of 3991031240 is 421301993.

It is a junction number, because it is equal to n+sod(n) for n = 3991031197 and 3991031206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2539655 + ... + 2541225.

It is an arithmetic number, because the mean of its divisors is an integer number (82482840).

Almost surely, 23991031240 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 3991031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278901760).

3991031240 is an abundant number, since it is smaller than the sum of its proper divisors (6566772280).

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

3991031240 is a wasteful number, since it uses less digits than its factorization.

3991031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 3991031240 is about 63174.6091400651. The cubic root of 3991031240 is about 1586.2137458820.

The spelling of 3991031240 in words is "three billion, nine hundred ninety-one million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 211 215 280 301 344 422 430 602 844 860 1055 1204 1477 1505 1571 1688 1720 2110 2408 2954 3010 3142 4220 5908 6020 6284 7385 7855 8440 9073 10997 11816 12040 12568 14770 15710 18146 21994 29540 31420 36292 43988 45365 54985 59080 62840 63511 67553 72584 87976 90730 109970 127022 135106 181460 219940 254044 270212 317555 331481 337765 362920 439880 472871 508088 540424 635110 662962 675530 945742 1270220 1325924 1351060 1657405 1891484 2320367 2364355 2540440 2651848 2702120 3314810 3782968 4640734 4728710 6629620 9281468 9457420 11601835 13259240 14253683 18562936 18914840 23203670 28507366 46407340 57014732 71268415 92814680 99775781 114029464 142536830 199551562 285073660 399103124 498878905 570147320 798206248 997757810 1995515620 3991031240