Search a number
-
+
3745708032 = 211311192917
BaseRepresentation
bin1101111101000010…
…1111100000000000
3100200001012200110010
43133100233200000
530132400124112
61415403304520
7161551664403
oct33720574000
910601180403
103745708032
111652399980
1288651b140
134790385b1
1427767bd3a
1516dc9463c
hexdf42f800

3745708032 has 192 divisors, whose sum is σ = 11471241600. Its totient is φ = 1074954240.

The previous prime is 3745708007. The next prime is 3745708049. The reversal of 3745708032 is 2308075473.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1282638 + ... + 1285554.

It is an arithmetic number, because the mean of its divisors is an integer number (59746050).

Almost surely, 23745708032 is an apocalyptic number.

3745708032 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 3745708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735620800).

3745708032 is an abundant number, since it is smaller than the sum of its proper divisors (7725533568).

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

3745708032 is a wasteful number, since it uses less digits than its factorization.

3745708032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 3745708032 is about 61202.1897647462. The cubic root of 3745708032 is about 1553.0233092627.

The spelling of 3745708032 in words is "three billion, seven hundred forty-five million, seven hundred eight thousand, thirty-two".