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354270 = 23572241
BaseRepresentation
bin1010110011111011110
3122222222010
41112133132
542314040
611332050
73003600
oct1263736
9588863
10354270
11222194
12151026
13c5337
1493170
156ee80
hex567de

354270 has 48 divisors (see below), whose sum is σ = 993168. Its totient is φ = 80640.

The previous prime is 354259. The next prime is 354271. The reversal of 354270 is 72453.

It is a happy number.

It is a super-3 number, since 3×3542703 = 133390342198449000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354270.

It is not an unprimeable number, because it can be changed into a prime (354271) by changing a digit.

354270 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350 + ... + 1590.

It is an arithmetic number, because the mean of its divisors is an integer number (20691).

2354270 is an apocalyptic number.

354270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496584).

354270 is an abundant number, since it is smaller than the sum of its proper divisors (638898).

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

354270 is a wasteful number, since it uses less digits than its factorization.

354270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 354270 is about 595.2058467455. The cubic root of 354270 is about 70.7584198381.

The spelling of 354270 in words is "three hundred fifty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 241 245 294 482 490 723 735 1205 1446 1470 1687 2410 3374 3615 5061 7230 8435 10122 11809 16870 23618 25305 35427 50610 59045 70854 118090 177135 354270