Search a number
-
+
3238696320 = 273515111171
BaseRepresentation
bin1100000100001010…
…1001010110000000
322100201011211010120
43001002221112000
523113101240240
61253212300240
7143154315216
oct30102512600
98321154116
103238696320
111412183532
12764771680
133c7c99b72
1422a1bccb6
1513e4e3ad0
hexc10a9580

3238696320 has 128 divisors (see below), whose sum is σ = 10392641280. Its totient is φ = 857856000.

The previous prime is 3238696301. The next prime is 3238696337. The reversal of 3238696320 is 236968323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284335 + ... + 295505.

It is an arithmetic number, because the mean of its divisors is an integer number (81192510).

Almost surely, 23238696320 is an apocalyptic number.

3238696320 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 3238696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196320640).

3238696320 is an abundant number, since it is smaller than the sum of its proper divisors (7153944960).

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

3238696320 is a wasteful number, since it uses less digits than its factorization.

3238696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3238696320 is about 56909.5450693467. The cubic root of 3238696320 is about 1479.5287518402.

The spelling of 3238696320 in words is "three billion, two hundred thirty-eight million, six hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 302 320 384 453 480 604 640 755 906 960 1208 1510 1812 1920 2265 2416 3020 3624 4530 4832 6040 7248 9060 9664 11171 12080 14496 18120 19328 22342 24160 28992 33513 36240 44684 48320 55855 57984 67026 72480 89368 96640 111710 134052 144960 167565 178736 223420 268104 289920 335130 357472 446840 536208 670260 714944 893680 1072416 1340520 1429888 1686821 1787360 2144832 2681040 3373642 3574720 4289664 5060463 5362080 6747284 7149440 8434105 10120926 10724160 13494568 16868210 20241852 21448320 25302315 26989136 33736420 40483704 50604630 53978272 67472840 80967408 101209260 107956544 134945680 161934816 202418520 215913088 269891360 323869632 404837040 539782720 647739264 809674080 1079565440 1619348160 3238696320