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3140031232 = 28137197137
BaseRepresentation
bin1011101100101001…
…0001001100000000
322002211112010002001
42323022101030000
522412321444412
61235325433344
7140545553002
oct27312211400
98084463061
103140031232
111371513a38
1273770b854
133b0702b60
1421b058372
15135a04957
hexbb291300

3140031232 has 144 divisors (see below), whose sum is σ = 6966050112. Its totient is φ = 1403781120.

The previous prime is 3140031229. The next prime is 3140031241. The reversal of 3140031232 is 2321300413.

It is a super-2 number, since 2×31400312322 = 19719592275870875648, which contains 22 as substring.

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, 22919868 + ... + 22920004.

It is an arithmetic number, because the mean of its divisors is an integer number (48375348).

Almost surely, 23140031232 is an apocalyptic number.

3140031232 is a gapful number since it is divisible by the number (32) 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 3140031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483025056).

3140031232 is an abundant number, since it is smaller than the sum of its proper divisors (3826018880).

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

3140031232 is a wasteful number, since it uses less digits than its factorization.

3140031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3140031232 is about 56035.9815832649. The cubic root of 3140031232 is about 1464.3492055192.

Adding to 3140031232 its reverse (2321300413), we get a palindrome (5461331645).

The spelling of 3140031232 in words is "three billion, one hundred forty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 97 104 128 137 142 194 208 256 274 284 388 416 548 568 776 832 923 1096 1136 1261 1552 1664 1781 1846 2192 2272 2522 3104 3328 3562 3692 4384 4544 5044 6208 6887 7124 7384 8768 9088 9727 10088 12416 13289 13774 14248 14768 17536 18176 19454 20176 24832 26578 27548 28496 29536 35072 38908 40352 53156 55096 56992 59072 77816 80704 89531 106312 110192 113984 118144 126451 155632 161408 172757 179062 212624 220384 227968 236288 252902 311264 322816 345514 358124 425248 440768 455936 505804 622528 691028 716248 850496 881536 943519 1011608 1245056 1382056 1432496 1700992 1763072 1887038 2023216 2490112 2764112 2864992 3401984 3774076 4046432 5528224 5729984 7548152 8092864 11056448 11459968 12265747 15096304 16185728 22112896 22919936 24531494 30192608 32371456 44225792 49062988 60385216 98125976 120770432 196251952 241540864 392503904 785007808 1570015616 3140031232