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608312640 = 26351379617
BaseRepresentation
bin100100010000100…
…001110101000000
31120101122111001210
4210100201311000
52221212001030
6140210130120
721034400145
oct4420416500
91511574053
10608312640
11292416321
1214b880940
1399049410
145ab0c3cc
1538610bb0
hex24421d40

608312640 has 224 divisors, whose sum is σ = 2109703680. Its totient is φ = 147603456.

The previous prime is 608312629. The next prime is 608312651. The reversal of 608312640 is 46213806.

It is an interprime number because it is at equal distance from previous prime (608312629) and next prime (608312651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 608312598 and 608312607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985612 + ... + 986228.

It is an arithmetic number, because the mean of its divisors is an integer number (9418320).

Almost surely, 2608312640 is an apocalyptic number.

608312640 is a gapful number since it is divisible by the number (60) 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 608312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054851840).

608312640 is an abundant number, since it is smaller than the sum of its proper divisors (1501391040).

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

608312640 is a wasteful number, since it uses less digits than its factorization.

608312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 608312640 is about 24663.9948102492. The cubic root of 608312640 is about 847.3098989741.

The spelling of 608312640 in words is "six hundred eight million, three hundred twelve thousand, six hundred forty".