Search a number
-
+
3213883140 = 2235132316951
BaseRepresentation
bin1011111110001111…
…1111011100000100
322021222111011211220
42333203333130010
523040223230030
61250524400340
7142433361456
oct27743773404
98258434756
103213883140
1113aa175a76
127583a60b0
133c2abca00
14226ba02d6
1513c241a10
hexbf8ff704

3213883140 has 72 divisors (see below), whose sum is σ = 9744372288. Its totient is φ = 791107200.

The previous prime is 3213883139. The next prime is 3213883163. The reversal of 3213883140 is 413883123.

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, 148336 + ... + 168615.

It is an arithmetic number, because the mean of its divisors is an integer number (135338504).

Almost surely, 23213883140 is an apocalyptic number.

3213883140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213883140 is an abundant number, since it is smaller than the sum of its proper divisors (6530489148).

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

3213883140 is a wasteful number, since it uses less digits than its factorization.

3213883140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316989 (or 316974 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3213883140 is about 56691.1204687295. The cubic root of 3213883140 is about 1475.7406051899.

The spelling of 3213883140 in words is "three billion, two hundred thirteen million, eight hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 316951 633902 950853 1267804 1584755 1901706 3169510 3803412 4120363 4754265 6339020 8240726 9508530 12361089 16481452 19017060 20601815 24722178 41203630 49444356 53564719 61805445 82407260 107129438 123610890 160694157 214258876 247221780 267823595 321388314 535647190 642776628 803470785 1071294380 1606941570 3213883140