Search a number
-
+
3213311232 = 28323181913
BaseRepresentation
bin1011111110000111…
…0011110100000000
322021221102010100010
42333201303310000
523040101424412
61250504224520
7142425460215
oct27741636400
98257363303
103213311232
1113a991531a
1275816b140
133c294c5c1
14226a91b0c
1513c17c33c
hexbf873d00

3213311232 has 72 divisors (see below), whose sum is σ = 8923973184. Its totient is φ = 1024528384.

The previous prime is 3213311207. The next prime is 3213311237. The reversal of 3213311232 is 2321133123.

3213311232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3213311199 and 3213311208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213311237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73293 + ... + 108620.

It is an arithmetic number, because the mean of its divisors is an integer number (123944072).

Almost surely, 23213311232 is an apocalyptic number.

3213311232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3213311232 is an abundant number, since it is smaller than the sum of its proper divisors (5710661952).

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

3213311232 is a wasteful number, since it uses less digits than its factorization.

3213311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181955 (or 181941 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 3213311232 is about 56686.0761739600. The cubic root of 3213311232 is about 1475.6530643669.

Adding to 3213311232 its reverse (2321133123), we get a palindrome (5534444355).

It can be divided in two parts, 32133 and 11232, that added together give a triangular number (43365 = T294).

The spelling of 3213311232 in words is "three billion, two hundred thirteen million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 181913 363826 545739 727652 1091478 1455304 2182956 2910608 4183999 4365912 5821216 8367998 8731824 11642432 12551997 16735996 17463648 23284864 25103994 33471992 34927296 46569728 50207988 66943984 69854592 100415976 133887968 139709184 200831952 267775936 401663904 535551872 803327808 1071103744 1606655616 3213311232