Search a number
-
+
676440336 = 2431121317231
BaseRepresentation
bin101000010100011…
…010100100010000
31202010211201200210
4220110122210100
52341132042321
6151042244120
722522435155
oct5024324420
91663751623
10676440336
11317918700
1216a656640
13aa1b0970
1465ba422c
153e5bbb76
hex2851a910

676440336 has 360 divisors, whose sum is σ = 2268243712. Its totient is φ = 172339200.

The previous prime is 676440301. The next prime is 676440343. The reversal of 676440336 is 633044676.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 676440294 and 676440303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21820641 + ... + 21820671.

Almost surely, 2676440336 is an apocalyptic number.

676440336 is a gapful number since it is divisible by the number (66) 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 676440336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134121856).

676440336 is an abundant number, since it is smaller than the sum of its proper divisors (1591803376).

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

676440336 is a wasteful number, since it uses less digits than its factorization.

676440336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 676440336 is about 26008.4666214677. The cubic root of 676440336 is about 877.8288141998.

The spelling of 676440336 in words is "six hundred seventy-six million, four hundred forty thousand, three hundred thirty-six".