Search a number
-
+
354690 = 23257563
BaseRepresentation
bin1010110100110000010
3200000112200
41112212002
542322230
611334030
73005040
oct1264602
9600480
10354690
11222536
12151316
13c559b
1493390
1570160
hex56982

354690 has 48 divisors (see below), whose sum is σ = 1055808. Its totient is φ = 80928.

The previous prime is 354689. The next prime is 354701. The reversal of 354690 is 96453.

It is a happy number.

It is a super-2 number, since 2×3546902 = 251609992200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (21996).

2354690 is an apocalyptic number.

354690 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 354690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527904).

354690 is an abundant number, since it is smaller than the sum of its proper divisors (701118).

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

354690 is a wasteful number, since it uses less digits than its factorization.

354690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 354690 is about 595.5585613523. The cubic root of 354690 is about 70.7863710240.

The spelling of 354690 in words is "three hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 563 630 1126 1689 2815 3378 3941 5067 5630 7882 8445 10134 11823 16890 19705 23646 25335 35469 39410 50670 59115 70938 118230 177345 354690