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354320541 = 3313122983
BaseRepresentation
bin10101000111101…
…000000010011101
3220200201100102000
4111013220002131
51211201224131
655054152513
711531450331
oct2507500235
9820640360
10354320541
111720062a3
129a7b2739
1358539933
14350b37c1
152118dce6
hex151e809d

354320541 has 8 divisors (see below), whose sum is σ = 524919360. Its totient is φ = 236213676.

The previous prime is 354320509. The next prime is 354320557. The reversal of 354320541 is 145023453.

It is not a de Polignac number, because 354320541 - 25 = 354320509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 13122983 = 354320541 / (3 + 5 + 4 + 3 + 2 + 0 + 5 + 4 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354320501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6561465 + ... + 6561518.

It is an arithmetic number, because the mean of its divisors is an integer number (65614920).

Almost surely, 2354320541 is an apocalyptic number.

It is an amenable number.

354320541 is a deficient number, since it is larger than the sum of its proper divisors (170598819).

354320541 is a wasteful number, since it uses less digits than its factorization.

354320541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13122992 (or 13122986 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 354320541 is about 18823.4040757776. The cubic root of 354320541 is about 707.6178453285.

Adding to 354320541 its reverse (145023453), we get a palindrome (499343994).

The spelling of 354320541 in words is "three hundred fifty-four million, three hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 9 27 13122983 39368949 118106847 354320541