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354450 = 235217139
BaseRepresentation
bin1010110100010010010
3200000012210
41112202102
542320300
611332550
73004245
oct1264222
9600183
10354450
11222338
12151156
13c5445
149325c
1570050
hex56892

354450 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 88320.

The previous prime is 354443. The next prime is 354451. The reversal of 354450 is 54453.

It is a happy number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (354451) by changing a digit.

354450 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, 2481 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2354450 is an apocalyptic number.

354450 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 354450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

354450 is an abundant number, since it is smaller than the sum of its proper divisors (582990).

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

354450 is a wasteful number, since it uses less digits than its factorization.

354450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 354450 is about 595.3570357357. The cubic root of 354450 is about 70.7704016214.

The spelling of 354450 in words is "three hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 139 150 170 255 278 417 425 510 695 834 850 1275 1390 2085 2363 2550 3475 4170 4726 6950 7089 10425 11815 14178 20850 23630 35445 59075 70890 118150 177225 354450