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354048 = 283461
BaseRepresentation
bin1010110011100000000
3122222122220
41112130000
542312143
611331040
73003132
oct1263400
9588586
10354048
11222002
12150a80
13c51c6
1493052
156ed83
hex56700

354048 has 36 divisors (see below), whose sum is σ = 944328. Its totient is φ = 117760.

The previous prime is 354047. The next prime is 354073. The reversal of 354048 is 840453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 538 + ... + 998.

2354048 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 354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472164).

354048 is an abundant number, since it is smaller than the sum of its proper divisors (590280).

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

354048 is an equidigital number, since it uses as much as digits as its factorization.

354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 354048 is about 595.0193274172. The cubic root of 354048 is about 70.7436367146.

The spelling of 354048 in words is "three hundred fifty-four thousand, forty-eight".