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354380 = 225132947
BaseRepresentation
bin1010110100001001100
3200000010012
41112201030
542320010
611332352
73004115
oct1264114
9600105
10354380
11222284
121510b8
13c53c0
149320c
1570005
hex5684c

354380 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 123648.

The previous prime is 354377. The next prime is 354383. The reversal of 354380 is 83453.

It is an interprime number because it is at equal distance from previous prime (354377) and next prime (354383).

It is not an unprimeable number, because it can be changed into a prime (354383) 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, 7517 + ... + 7563.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2354380 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 354380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

354380 is an abundant number, since it is smaller than the sum of its proper divisors (492340).

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

354380 is a wasteful number, since it uses less digits than its factorization.

354380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 354380 is about 595.2982445800. The cubic root of 354380 is about 70.7657425211.

The spelling of 354380 in words is "three hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 47 52 58 65 94 116 130 145 188 235 260 290 377 470 580 611 754 940 1222 1363 1508 1885 2444 2726 3055 3770 5452 6110 6815 7540 12220 13630 17719 27260 35438 70876 88595 177190 354380