Search a number
-
+
3329231640 = 2335717332287
BaseRepresentation
bin1100011001110000…
…0000101100011000
322121000112111020120
43012130000230120
523304240403030
61310204553240
7145334000460
oct30634005430
98530474216
103329231640
1114592a0009
1278ab52820
13410978667
14238228ba0
15147429010
hexc6700b18

3329231640 has 128 divisors (see below), whose sum is σ = 11426088960. Its totient is φ = 760195584.

The previous prime is 3329231617. The next prime is 3329231671. The reversal of 3329231640 is 461329233.

It is a super-2 number, since 2×33292316402 = 22167566625554179200, 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 31 ways as a sum of consecutive naturals, for example, 1454577 + ... + 1456863.

It is an arithmetic number, because the mean of its divisors is an integer number (89266320).

Almost surely, 23329231640 is an apocalyptic number.

3329231640 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 3329231640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713044480).

3329231640 is an abundant number, since it is smaller than the sum of its proper divisors (8096857320).

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

3329231640 is a wasteful number, since it uses less digits than its factorization.

3329231640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3329231640 is about 57699.4942785463. The cubic root of 3329231640 is about 1493.1886190992.

The spelling of 3329231640 in words is "three billion, three hundred twenty-nine million, two hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1733 2287 3466 4574 5199 6861 6932 8665 9148 10398 11435 12131 13722 13864 16009 17330 18296 20796 22870 24262 25995 27444 32018 34305 34660 36393 41592 45740 48027 48524 51990 54888 60655 64036 68610 69320 72786 80045 91480 96054 97048 103980 121310 128072 137220 145572 160090 181965 192108 207960 240135 242620 274440 291144 320180 363930 384216 480270 485240 640360 727860 960540 1455720 1921080 3963371 7926742 11890113 15853484 19816855 23780226 27743597 31706968 39633710 47560452 55487194 59450565 79267420 83230791 95120904 110974388 118901130 138717985 158534840 166461582 221948776 237802260 277435970 332923164 416153955 475604520 554871940 665846328 832307910 1109743880 1664615820 3329231640