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354060 = 223257281
BaseRepresentation
bin1010110011100001100
3122222200100
41112130030
542312220
611331100
73003150
oct1263414
9588610
10354060
11222013
12150a90
13c5205
1493060
156ed90
hex5670c

354060 has 72 divisors (see below), whose sum is σ = 1231776. Its totient is φ = 80640.

The previous prime is 354047. The next prime is 354073. The reversal of 354060 is 60453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354047) and next prime (354073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354060.

It is an unprimeable number.

354060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (17108).

2354060 is an apocalyptic number.

354060 is a gapful number since it is divisible by the number (30) 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 354060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615888).

354060 is an abundant number, since it is smaller than the sum of its proper divisors (877716).

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

354060 is a wasteful number, since it uses less digits than its factorization.

354060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 354060 is about 595.0294110378. The cubic root of 354060 is about 70.7444359603.

It can be divided in two parts, 3540 and 60, that added together give a square (3600 = 602).

The spelling of 354060 in words is "three hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 281 315 420 562 630 843 1124 1260 1405 1686 1967 2529 2810 3372 3934 4215 5058 5620 5901 7868 8430 9835 10116 11802 12645 16860 17703 19670 23604 25290 29505 35406 39340 50580 59010 70812 88515 118020 177030 354060