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3073900032 = 29327233409
BaseRepresentation
bin1011011100110111…
…1111111000000000
321221020002022010100
42313031333320000
522243404300112
61225004202400
7136113501450
oct26715777000
97836068110
103073900032
111338155655
12719539400
1339caba278
14212361d60
1512ece02dc
hexb737fe00

3073900032 has 240 divisors, whose sum is σ = 10207248480. Its totient is φ = 872349696.

The previous prime is 3073900007. The next prime is 3073900043. The reversal of 3073900032 is 2300093703.

It is a super-2 number, since 2×30739000322 = 18897722813459202048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3073899969 and 3073900005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7515444 + ... + 7515852.

It is an arithmetic number, because the mean of its divisors is an integer number (42530202).

Almost surely, 23073900032 is an apocalyptic number.

3073900032 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 3073900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103624240).

3073900032 is an abundant number, since it is smaller than the sum of its proper divisors (7133348448).

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

3073900032 is a wasteful number, since it uses less digits than its factorization.

3073900032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3073900032 is about 55442.7635674846. The cubic root of 3073900032 is about 1453.9961162545.

Adding to 3073900032 its reverse (2300093703), we get a palindrome (5373993735).

The spelling of 3073900032 in words is "three billion, seventy-three million, nine hundred thousand, thirty-two".