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3404998080 = 263351123257
BaseRepresentation
bin1100101011110100…
…0010010111000000
322210022002211021000
43022331002113000
523433134414310
61321512532000
7150244002051
oct31275022700
98708084230
103404998080
11149803a500
127b03b1000
13423585a83
1424430c728
1514dde34c0
hexcaf425c0

3404998080 has 336 divisors, whose sum is σ = 13207410720. Its totient is φ = 825200640.

The previous prime is 3404998021. The next prime is 3404998087. The reversal of 3404998080 is 808994043.

It is a happy number.

3404998080 is a `hidden beast` number, since 3 + 4 + 0 + 499 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404998087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043812 + ... + 1047068.

It is an arithmetic number, because the mean of its divisors is an integer number (39307770).

Almost surely, 23404998080 is an apocalyptic number.

3404998080 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 3404998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603705360).

3404998080 is an abundant number, since it is smaller than the sum of its proper divisors (9802412640).

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

3404998080 is a wasteful number, since it uses less digits than its factorization.

3404998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3404998080 is about 58352.3613918066. The cubic root of 3404998080 is about 1504.4310575967.

The spelling of 3404998080 in words is "three billion, four hundred four million, nine hundred ninety-eight thousand, eighty".