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3452404032 = 2636711312
BaseRepresentation
bin1100110111000111…
…1000000101000000
322220121022022000000
43031301320011000
524032303412112
61330325000000
7151360643610
oct31561700500
98817268000
103452404032
111511879280
12804253000
1343034352c
1424a72ca40
151531597dc
hexcdc78140

3452404032 has 588 divisors, whose sum is σ = 13232575008. Its totient is φ = 867801600.

The previous prime is 3452404031. The next prime is 3452404037. The reversal of 3452404032 is 2304042543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3452403987 and 3452404005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452404031) 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 83 ways as a sum of consecutive naturals, for example, 111367857 + ... + 111367887.

Almost surely, 23452404032 is an apocalyptic number.

3452404032 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 3452404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616287504).

3452404032 is an abundant number, since it is smaller than the sum of its proper divisors (9780170976).

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

3452404032 is an equidigital number, since it uses as much as digits as its factorization.

3452404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3452404032 is about 58757.1615379776. The cubic root of 3452404032 is about 1511.3806987555.

Adding to 3452404032 its reverse (2304042543), we get a palindrome (5756446575).

The spelling of 3452404032 in words is "three billion, four hundred fifty-two million, four hundred four thousand, thirty-two".