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2804034240 = 26335771653
BaseRepresentation
bin1010011100100010…
…0010101011000000
321020102021200212000
42213020202223000
521220313043430
61142124104000
7126325616640
oct24710425300
97212250760
102804034240
111209893477
12663095000
13358c10577
141c8594520
15116284e60
hexa7222ac0

2804034240 has 448 divisors, whose sum is σ = 11481937920. Its totient is φ = 630927360.

The previous prime is 2804034229. The next prime is 2804034263. The reversal of 2804034240 is 424304082.

It is a happy number.

2804034240 is a `hidden beast` number, since 280 + 4 + 0 + 342 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4293754 + ... + 4294406.

Almost surely, 22804034240 is an apocalyptic number.

2804034240 is a gapful number since it is divisible by the number (20) 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 2804034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740968960).

2804034240 is an abundant number, since it is smaller than the sum of its proper divisors (8677903680).

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

2804034240 is a wasteful number, since it uses less digits than its factorization.

2804034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2804034240 is about 52953.1324852459. The cubic root of 2804034240 is about 1410.1363381067.

The spelling of 2804034240 in words is "two billion, eight hundred four million, thirty-four thousand, two hundred forty".