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676823040 = 21535517
BaseRepresentation
bin101000010101111…
…000000000000000
31202011120011200000
4220111320000000
52341231314130
6151054400000
722525621005
oct5025700000
91664504600
10676823040
1131805a193
1216a800000
13aa2b5c0a
1465c638ac
153e645260
hex28578000

676823040 has 384 divisors, whose sum is σ = 2576311920. Its totient is φ = 169869312.

The previous prime is 676823027. The next prime is 676823041. The reversal of 676823040 is 40328676.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 676822986 and 676823004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676823041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39813112 + ... + 39813128.

Almost surely, 2676823040 is an apocalyptic number.

676823040 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 676823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288155960).

676823040 is an abundant number, since it is smaller than the sum of its proper divisors (1899488880).

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

676823040 is an frugal number, since it uses more digits than its factorization.

676823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 676823040 is about 26015.8228776258. The cubic root of 676823040 is about 877.9943302820.

The spelling of 676823040 in words is "six hundred seventy-six million, eight hundred twenty-three thousand, forty".