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263772342 = 23329389433
BaseRepresentation
bin11111011100011…
…01100010110110
3200101100000122000
433232031202312
51020011203332
642101320130
76352012401
oct1756154266
9611300560
10263772342
11125990079
1274406046
1342855312
1427062d38
1518254b7c
hexfb8d8b6

263772342 has 64 divisors (see below), whose sum is σ = 609336000. Its totient is φ = 84478464.

The previous prime is 263772329. The next prime is 263772407. The reversal of 263772342 is 243277362.

It is a junction number, because it is equal to n+sod(n) for n = 263772297 and 263772306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608958 + ... + 609390.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2263772342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263772342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

263772342 is an abundant number, since it is smaller than the sum of its proper divisors (345563658).

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

263772342 is a wasteful number, since it uses less digits than its factorization.

263772342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 263772342 is about 16241.0696076336. The cubic root of 263772342 is about 641.3224137641.

The spelling of 263772342 in words is "two hundred sixty-three million, seven hundred seventy-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 389 433 522 778 783 866 1167 1299 1566 2334 2598 3501 3897 7002 7794 10503 11281 11691 12557 21006 22562 23382 25114 33843 37671 67686 75342 101529 113013 168437 203058 226026 304587 336874 339039 505311 609174 678078 1010622 1515933 3031866 4547799 4884673 9095598 9769346 14654019 29308038 43962057 87924114 131886171 263772342