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3722327040 = 21035673617
BaseRepresentation
bin1101110111011110…
…0011010000000000
3100121102012210202110
43131313203100000
530110403431130
61413210215320
7161146154265
oct33567432000
910542183673
103722327040
11164017a443
1287a724540
134742402a3
1427451326c
1516bbc6ab0
hexddde3400

3722327040 has 176 divisors, whose sum is σ = 12086667072. Its totient is φ = 977534976.

The previous prime is 3722327029. The next prime is 3722327053. The reversal of 3722327040 is 407232273.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3722326989 and 3722327007.

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, 1027312 + ... + 1030928.

Almost surely, 23722327040 is an apocalyptic number.

3722327040 is a gapful number since it is divisible by the number (30) 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 3722327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043333536).

3722327040 is an abundant number, since it is smaller than the sum of its proper divisors (8364340032).

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

3722327040 is a wasteful number, since it uses less digits than its factorization.

3722327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 3722327040 is about 61010.8764074079. The cubic root of 3722327040 is about 1549.7851995092.

The spelling of 3722327040 in words is "three billion, seven hundred twenty-two million, three hundred twenty-seven thousand, forty".