Search a number
-
+
3455445504 = 29372311481
BaseRepresentation
bin1100110111110101…
…1110101000000000
322220211000211010010
43031331132220000
524034043224004
61330514104520
7151425542100
oct31575365000
98824024103
103455445504
111513566395
1280527b140
13430b69a14
1424acc1200
1515355aa89
hexcdf5ea00

3455445504 has 240 divisors, whose sum is σ = 11061363456. Its totient is φ = 954777600.

The previous prime is 3455445451. The next prime is 3455445523. The reversal of 3455445504 is 4055445543.

3455445504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34554455042 = 23880207262227628032, which contains 22 as substring.

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, 2332444 + ... + 2333924.

Almost surely, 23455445504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530681728).

3455445504 is an abundant number, since it is smaller than the sum of its proper divisors (7605917952).

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

3455445504 is a wasteful number, since it uses less digits than its factorization.

3455445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 39.

The square root of 3455445504 is about 58783.0375533623. The cubic root of 3455445504 is about 1511.8243966158.

Adding to 3455445504 its sum of digits (39), we get a palindrome (3455445543).

The spelling of 3455445504 in words is "three billion, four hundred fifty-five million, four hundred forty-five thousand, five hundred four".