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270741352 = 23731831879
BaseRepresentation
bin10000001000110…
…010111101101000
3200212110002022111
4100020302331220
51023302210402
642510532104
76465156250
oct2010627550
9625402274
10270741352
1112990aa92
1276807034
13441253ab
1427d58960
1518b7e9d7
hex10232f68

270741352 has 64 divisors (see below), whose sum is σ = 606412800. Its totient is φ = 110877120.

The previous prime is 270741329. The next prime is 270741353. The reversal of 270741352 is 253147072.

270741352 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 (31).

It is not an unprimeable number, because it can be changed into a prime (270741353) 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, 143149 + ... + 145027.

It is an arithmetic number, because the mean of its divisors is an integer number (9475200).

Almost surely, 2270741352 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 270741352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303206400).

270741352 is an abundant number, since it is smaller than the sum of its proper divisors (335671448).

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

270741352 is a wasteful number, since it uses less digits than its factorization.

270741352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 270741352 is about 16454.2198842728. The cubic root of 270741352 is about 646.9214199210.

The spelling of 270741352 in words is "two hundred seventy million, seven hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 83 124 166 217 248 332 434 581 664 868 1162 1736 1879 2324 2573 3758 4648 5146 7516 10292 13153 15032 18011 20584 26306 36022 52612 58249 72044 105224 116498 144088 155957 232996 311914 407743 465992 623828 815486 1091699 1247656 1630972 2183398 3261944 4366796 4834667 8733592 9669334 19338668 33842669 38677336 67685338 135370676 270741352