Search a number
-
+
3262930320 = 243513280447
BaseRepresentation
bin1100001001111100…
…0101110110010000
322102101210000221010
43002133011312100
523140302232240
61255435530520
7143600310246
oct30237056620
98371700833
103262930320
111424925931
127708b9a40
13400003500
1422d4ca796
151416ce280
hexc27c5d90

3262930320 has 120 divisors (see below), whose sum is σ = 10953156096. Its totient is φ = 803172864.

The previous prime is 3262930313. The next prime is 3262930357. The reversal of 3262930320 is 230392623.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337 + ... + 80783.

Almost surely, 23262930320 is an apocalyptic number.

3262930320 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 3262930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476578048).

3262930320 is an abundant number, since it is smaller than the sum of its proper divisors (7690225776).

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

3262930320 is a wasteful number, since it uses less digits than its factorization.

3262930320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80489 (or 80470 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 3262930320 is about 57122.0650887203. The cubic root of 3262930320 is about 1483.2098461635.

The spelling of 3262930320 in words is "three billion, two hundred sixty-two million, nine hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 80447 160894 241341 321788 402235 482682 643576 804470 965364 1045811 1206705 1287152 1608940 1930728 2091622 2413410 3137433 3217880 3861456 4183244 4826820 5229055 6274866 6435760 8366488 9653640 10458110 12549732 13595543 15687165 16732976 19307280 20916220 25099464 27191086 31374330 40786629 41832440 50198928 54382172 62748660 67977715 81573258 83664880 108764344 125497320 135955430 163146516 203933145 217528688 250994640 271910860 326293032 407866290 543821720 652586064 815732580 1087643440 1631465160 3262930320