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255337340 = 225411312377
BaseRepresentation
bin11110011100000…
…10001101111100
3122210110110222112
433032002031330
51010331243330
641200433152
76220221506
oct1716021574
9583413875
10255337340
111211497a5
12716187b8
1340b90bab
1425ca8d76
151763a795
hexf38237c

255337340 has 48 divisors (see below), whose sum is σ = 553712544. Its totient is φ = 98841600.

The previous prime is 255337337. The next prime is 255337349. The reversal of 255337340 is 43733552.

It is a junction number, because it is equal to n+sod(n) for n = 255337297 and 255337306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255337349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106232 + ... + 108608.

It is an arithmetic number, because the mean of its divisors is an integer number (11535678).

Almost surely, 2255337340 is an apocalyptic number.

255337340 is a gapful number since it is divisible by the number (20) 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 255337340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276856272).

255337340 is an abundant number, since it is smaller than the sum of its proper divisors (298375204).

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

255337340 is a wasteful number, since it uses less digits than its factorization.

255337340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 32.

The square root of 255337340 is about 15979.2784568015. The cubic root of 255337340 is about 634.4120790609.

It can be divided in two parts, 2553 and 37340, that added together give a palindrome (39893).

The spelling of 255337340 in words is "two hundred fifty-five million, three hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 1310 2377 2620 4754 5371 9508 10742 11885 21484 23770 26855 47540 53710 97457 107420 194914 311387 389828 487285 622774 974570 1245548 1556935 1949140 3113870 6227740 12766867 25533734 51067468 63834335 127668670 255337340