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3140431232 = 27593891069
BaseRepresentation
bin1011101100101111…
…0010110110000000
322002212021102202212
42323023302312000
522412422244412
61235342201252
7140552140121
oct27313626600
98085242685
103140431232
111371767514
12737883228
133b0812c43
1421b120048
15135a83222
hexbb2f2d80

3140431232 has 64 divisors (see below), whose sum is σ = 6384690000. Its totient is φ = 1538193408.

The previous prime is 3140431213. The next prime is 3140431237. The reversal of 3140431232 is 2321340413.

3140431232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3140431198 and 3140431207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140431237) 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, 2937194 + ... + 2938262.

Almost surely, 23140431232 is an apocalyptic number.

3140431232 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 3140431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192345000).

3140431232 is an abundant number, since it is smaller than the sum of its proper divisors (3244258768).

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

3140431232 is a wasteful number, since it uses less digits than its factorization.

3140431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3140431232 is about 56039.5506049076. The cubic root of 3140431232 is about 1464.4113826939.

Adding to 3140431232 its reverse (2321340413), we get a palindrome (5461771645).

The spelling of 3140431232 in words is "three billion, one hundred forty million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 389 472 778 944 1069 1556 1888 2138 3112 3776 4276 6224 7552 8552 12448 17104 22951 24896 34208 45902 49792 63071 68416 91804 126142 136832 183608 252284 367216 415841 504568 734432 831682 1009136 1468864 1663364 2018272 2937728 3326728 4036544 6653456 8073088 13306912 24534619 26613824 49069238 53227648 98138476 196276952 392553904 785107808 1570215616 3140431232