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704408040 = 2332573171127
BaseRepresentation
bin101001111111000…
…110100111101000
31211002110122011200
4221333012213220
52420312024130
6153521524200
723312240520
oct5177064750
91732418150
10704408040
11331690206
12177aa3660
13b2c238bb
14697a4680
1541c93760
hex29fc69e8

704408040 has 384 divisors, whose sum is σ = 2760376320. Its totient is φ = 152409600.

The previous prime is 704407997. The next prime is 704408041. The reversal of 704408040 is 40804407.

It is a junction number, because it is equal to n+sod(n) for n = 704407995 and 704408013.

It is not an unprimeable number, because it can be changed into a prime (704408041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5546457 + ... + 5546583.

It is an arithmetic number, because the mean of its divisors is an integer number (7188480).

Almost surely, 2704408040 is an apocalyptic number.

704408040 is a gapful number since it is divisible by the number (70) 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 704408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380188160).

704408040 is an abundant number, since it is smaller than the sum of its proper divisors (2055968280).

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

704408040 is a wasteful number, since it uses less digits than its factorization.

704408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 704408040 is about 26540.6865020481. The cubic root of 704408040 is about 889.7638728884.

The spelling of 704408040 in words is "seven hundred four million, four hundred eight thousand, forty".