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243113408 = 2631181677
BaseRepresentation
bin11100111110110…
…01110111000000
3121221110102220022
432133121313000
5444214112113
640042433012
76011300306
oct1637316700
9557412808
10243113408
1111525a77a
1269502768
133b4a0cb5
1424406276
1516523908
hexe7d9dc0

243113408 has 56 divisors (see below), whose sum is σ = 501481344. Its totient is φ = 116812800.

The previous prime is 243113407. The next prime is 243113411. The reversal of 243113408 is 804311342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243113407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358766 + ... + 359442.

It is an arithmetic number, because the mean of its divisors is an integer number (8955024).

Almost surely, 2243113408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250740672).

243113408 is an abundant number, since it is smaller than the sum of its proper divisors (258367936).

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

243113408 is a wasteful number, since it uses less digits than its factorization.

243113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 243113408 is about 15592.0944071026. The cubic root of 243113408 is about 624.1222092439.

The spelling of 243113408 in words is "two hundred forty-three million, one hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 181 248 362 496 677 724 992 1354 1448 1984 2708 2896 5416 5611 5792 10832 11222 11584 20987 21664 22444 41974 43328 44888 83948 89776 122537 167896 179552 245074 335792 359104 490148 671584 980296 1343168 1960592 3798647 3921184 7597294 7842368 15194588 30389176 60778352 121556704 243113408