Search a number
-
+
3454220880 = 24325112311279
BaseRepresentation
bin1100110111100011…
…0011101001010000
322220201201121020200
43031320303221100
524033240032010
61330431535200
7151412251545
oct31570635120
98821647220
103454220880
1115128aa300
1280498a500
1343082b4a6
1424aa82bcc
151533b7cc0
hexcde33a50

3454220880 has 360 divisors, whose sum is σ = 13172490240. Its totient is φ = 809740800.

The previous prime is 3454220839. The next prime is 3454220893. The reversal of 3454220880 is 880224543.

3454220880 is a `hidden beast` number, since 34 + 542 + 2 + 0 + 8 + 80 = 666.

3454220880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2700081 + ... + 2701359.

Almost surely, 23454220880 is an apocalyptic number.

3454220880 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 3454220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586245120).

3454220880 is an abundant number, since it is smaller than the sum of its proper divisors (9718269360).

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

3454220880 is a wasteful number, since it uses less digits than its factorization.

3454220880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3454220880 is about 58772.6201559876. The cubic root of 3454220880 is about 1511.6457765993.

The spelling of 3454220880 in words is "three billion, four hundred fifty-four million, two hundred twenty thousand, eight hundred eighty".