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355348 = 227437
BaseRepresentation
bin1010110110000010100
3200001110001
41112300110
542332343
611341044
73010000
oct1266024
9601401
10355348
11222a84
12151784
13c5986
1493700
157044d
hex56c14

355348 has 30 divisors (see below), whose sum is σ = 745066. Its totient is φ = 148176.

The previous prime is 355343. The next prime is 355361. The reversal of 355348 is 843553.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 9604 = 588^2 + 98^2 .

It is a super-2 number, since 2×3553482 = 252544402208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9586 + ... + 9622.

2355348 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 355348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372533).

355348 is an abundant number, since it is smaller than the sum of its proper divisors (389718).

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

355348 is an equidigital number, since it uses as much as digits as its factorization.

355348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 355348 is about 596.1107279692. The cubic root of 355348 is about 70.8301168859.

It can be divided in two parts, 355 and 348, that added together give a triangular number (703 = T37).

The spelling of 355348 in words is "three hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 343 518 686 1036 1372 1813 2401 3626 4802 7252 9604 12691 25382 50764 88837 177674 355348