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677174940 = 22325131729587
BaseRepresentation
bin101000010111001…
…101111010011100
31202012020001101100
4220113031322130
52341324044230
6151110113100
722531614651
oct5027157234
91665201340
10677174940
1131827a612
1216a94b790
13aa3aa140
1465d15c28
153e6b4660
hex285cde9c

677174940 has 288 divisors, whose sum is σ = 2427122880. Its totient is φ = 151216128.

The previous prime is 677174929. The next prime is 677174941. The reversal of 677174940 is 49471776.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677174941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153327 + ... + 1153913.

It is an arithmetic number, because the mean of its divisors is an integer number (8427510).

Almost surely, 2677174940 is an apocalyptic number.

677174940 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 677174940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213561440).

677174940 is an abundant number, since it is smaller than the sum of its proper divisors (1749947940).

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

677174940 is a wasteful number, since it uses less digits than its factorization.

677174940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 677174940 is about 26022.5851905609. The cubic root of 677174940 is about 878.1464688545.

The spelling of 677174940 in words is "six hundred seventy-seven million, one hundred seventy-four thousand, nine hundred forty".