Search a number
-
+
332713980 = 22345593
BaseRepresentation
bin10011110101001…
…100111111111100
3212012001121210000
4103311030333330
51140133321410
653003114300
711150010414
oct2365147774
9765047700
10332713980
11160898a35
1293512990
1353c131a1
143228b644
151e321dc0
hex13d4cffc

332713980 has 120 divisors (see below), whose sum is σ = 1061731440. Its totient is φ = 87219936.

The previous prime is 332713973. The next prime is 332713991. The reversal of 332713980 is 89317233.

It is a happy number.

It is a super-2 number, since 2×3327139802 = 221397184974880800, which contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 885 × 531 × 708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5639191 + ... + 5639249.

It is an arithmetic number, because the mean of its divisors is an integer number (8847762).

Almost surely, 2332713980 is an apocalyptic number.

332713980 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 332713980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530865720).

332713980 is an abundant number, since it is smaller than the sum of its proper divisors (729017460).

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

332713980 is an frugal number, since it uses more digits than its factorization.

332713980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 332713980 is about 18240.4490076314. The cubic root of 332713980 is about 692.9315724869.

The spelling of 332713980 in words is "three hundred thirty-two million, seven hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1593 1620 1770 2124 2655 3186 3481 3540 4779 5310 6372 6962 7965 9558 10443 10620 13924 15930 17405 19116 20886 23895 31329 31860 34810 41772 47790 52215 62658 69620 93987 95580 104430 125316 156645 187974 205379 208860 281961 313290 375948 410758 469935 563922 616137 626580 821516 939870 1026895 1127844 1232274 1409805 1848411 1879740 2053790 2464548 2819610 3080685 3696822 4107580 5545233 5639220 6161370 7393644 9242055 11090466 12322740 16635699 18484110 22180932 27726165 33271398 36968220 55452330 66542796 83178495 110904660 166356990 332713980