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3990313404 = 223271111312739
BaseRepresentation
bin1110110111010111…
…0101100110111100
3101022002110220221100
43231311311212330
531133010012104
61455542133100
7200612050530
oct35565654674
911262426840
103990313404
111768478580
12934421190
134b790c6bc
1429bd51bc0
151854b0139
hexedd759bc

3990313404 has 144 divisors (see below), whose sum is σ = 12687816960. Its totient is φ = 1027192320.

The previous prime is 3990313403. The next prime is 3990313409. The reversal of 3990313404 is 4043130993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990313403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306867 + ... + 319605.

It is an arithmetic number, because the mean of its divisors is an integer number (88109840).

Almost surely, 23990313404 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 3990313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343908480).

3990313404 is an abundant number, since it is smaller than the sum of its proper divisors (8697503556).

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

3990313404 is a wasteful number, since it uses less digits than its factorization.

3990313404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3990313404 is about 63168.9275197862. The cubic root of 3990313404 is about 1586.1186401700.

The spelling of 3990313404 in words is "three billion, nine hundred ninety million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 113 126 132 154 198 226 231 252 308 339 396 452 462 678 693 791 924 1017 1243 1356 1386 1582 2034 2373 2486 2772 3164 3729 4068 4746 4972 7119 7458 8701 9492 11187 12739 14238 14916 17402 22374 25478 26103 28476 34804 38217 44748 50956 52206 76434 78309 89173 104412 114651 140129 152868 156618 178346 229302 267519 280258 313236 356692 420387 458604 535038 560516 802557 840774 980903 1070076 1261161 1439507 1605114 1681548 1961806 2522322 2879014 2942709 3210228 3923612 4318521 5044644 5758028 5885418 8637042 8828127 10076549 11770836 12955563 15834577 17274084 17656254 20153098 25911126 30229647 31669154 35312508 40306196 47503731 51822252 60459294 63338308 90688941 95007462 110842039 120918588 142511193 181377882 190014924 221684078 285022386 332526117 362755764 443368156 570044772 665052234 997578351 1330104468 1995156702 3990313404