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257344464 = 24313412411
BaseRepresentation
bin11110101011011…
…00001111010000
3122221020110020110
433111230033100
51011340010324
641311441320
76243251256
oct1725541720
9587213213
10257344464
1112229a783
1272226240
1341414640
142626c5d6
15178d5329
hexf56c3d0

257344464 has 40 divisors (see below), whose sum is σ = 715947232. Its totient is φ = 79182720.

The previous prime is 257344433. The next prime is 257344471. The reversal of 257344464 is 464443752.

257344464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205582 + ... + 206829.

Almost surely, 2257344464 is an apocalyptic number.

257344464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257344464 is an abundant number, since it is smaller than the sum of its proper divisors (458602768).

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

257344464 is a wasteful number, since it uses less digits than its factorization.

257344464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412435 (or 412429 counting only the distinct ones).

The product of its digits is 322560, while the sum is 39.

The square root of 257344464 is about 16041.9594813103. The cubic root of 257344464 is about 636.0700448941.

The spelling of 257344464 in words is "two hundred fifty-seven million, three hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 412411 824822 1237233 1649644 2474466 3299288 4948932 5361343 6598576 9897864 10722686 16084029 19795728 21445372 32168058 42890744 64336116 85781488 128672232 257344464