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3772306080 = 253452910037
BaseRepresentation
bin1110000011011000…
…1101001010100000
3100201220021000010000
43200312031022200
530211202243310
61422153340000
7162324033624
oct34066151240
910656230100
103772306080
111666406434
12893407600
134816bbc9a
1427b003184
1517129a4c0
hexe0d8d2a0

3772306080 has 240 divisors, whose sum is σ = 13773541320. Its totient is φ = 971163648.

The previous prime is 3772306073. The next prime is 3772306081. The reversal of 3772306080 is 806032773.

It can be written as a sum of positive squares in 4 ways, for example, as 2789107344 + 983198736 = 52812^2 + 31356^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×37723060802 = 28460586322409932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3772306081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370822 + ... + 380858.

Almost surely, 23772306080 is an apocalyptic number.

3772306080 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 3772306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886770660).

3772306080 is an abundant number, since it is smaller than the sum of its proper divisors (10001235240).

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

3772306080 is a wasteful number, since it uses less digits than its factorization.

3772306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3772306080 is about 61419.1019146324. The cubic root of 3772306080 is about 1556.6906175800.

The spelling of 3772306080 in words is "three billion, seven hundred seventy-two million, three hundred six thousand, eighty".