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354620 = 225717149
BaseRepresentation
bin1010110100100111100
3200000110002
41112210330
542321440
611333432
73004610
oct1264474
9600402
10354620
11222482
12151278
13c5546
1493340
1570115
hex5693c

354620 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 113664.

The previous prime is 354619. The next prime is 354643. The reversal of 354620 is 26453.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 354592 and 354601.

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 354620.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2306 + ... + 2454.

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

2354620 is an apocalyptic number.

It is a pronic number, being equal to 595×596.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

354620 is an abundant number, since it is smaller than the sum of its proper divisors (552580).

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

354620 is a wasteful number, since it uses less digits than its factorization.

354620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 354620 is about 595.4997900923. The cubic root of 354620 is about 70.7817140259.

The spelling of 354620 in words is "three hundred fifty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 149 170 238 298 340 476 595 596 745 1043 1190 1490 2086 2380 2533 2980 4172 5066 5215 10132 10430 12665 17731 20860 25330 35462 50660 70924 88655 177310 354620