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361340 = 22572989
BaseRepresentation
bin1011000001101111100
3200100122222
41120031330
543030330
611424512
73033320
oct1301574
9610588
10361340
11227531
12155138
13c8615
1495980
15720e5
hex5837c

361340 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 118272.

The previous prime is 361337. The next prime is 361349. The reversal of 361340 is 43163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361349) 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, 4016 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2361340 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 361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

361340 is an abundant number, since it is smaller than the sum of its proper divisors (545860).

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

361340 is a wasteful number, since it uses less digits than its factorization.

361340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 361340 is about 601.1156294757. The cubic root of 361340 is about 71.2260204521.

The spelling of 361340 in words is "three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 89 116 140 145 178 203 290 356 406 445 580 623 812 890 1015 1246 1780 2030 2492 2581 3115 4060 5162 6230 10324 12460 12905 18067 25810 36134 51620 72268 90335 180670 361340