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253456340 = 22512672817
BaseRepresentation
bin11110001101101…
…10111111010100
3122122220220201212
433012312333110
51004341100330
641052240552
76165225524
oct1706667724
9578826655
10253456340
11120084555
1270a70158
1340682987
1425939684
15173b8295
hexf1b6fd4

253456340 has 12 divisors (see below), whose sum is σ = 532258356. Its totient is φ = 101382528.

The previous prime is 253456339. The next prime is 253456363. The reversal of 253456340 is 43654352.

It can be written as a sum of positive squares in 2 ways, for example, as 81793936 + 171662404 = 9044^2 + 13102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253456297 and 253456306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6336389 + ... + 6336428.

It is an arithmetic number, because the mean of its divisors is an integer number (44354863).

Almost surely, 2253456340 is an apocalyptic number.

253456340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253456340 is an abundant number, since it is smaller than the sum of its proper divisors (278802016).

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

253456340 is a wasteful number, since it uses less digits than its factorization.

253456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672826 (or 12672824 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 253456340 is about 15920.3121828688. The cubic root of 253456340 is about 632.8503914495.

The spelling of 253456340 in words is "two hundred fifty-three million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 12672817 25345634 50691268 63364085 126728170 253456340