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354415149 = 33113373541
BaseRepresentation
bin10101000111111…
…111001000101101
3220200220011012000
4111013333020231
51211212241044
655100202513
711532323214
oct2507771055
9820804160
10354415149
11172070390
129a839439
1358570a0a
14350da07b
15211abd69
hex151ff22d

354415149 has 32 divisors (see below), whose sum is σ = 574654080. Its totient is φ = 214099200.

The previous prime is 354415147. The next prime is 354415163. The reversal of 354415149 is 941514453.

It is a happy number.

It is not a de Polignac number, because 354415149 - 21 = 354415147 is a prime.

It is a super-2 number, since 2×3544151492 = 251220195681384402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354415141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98319 + ... + 101859.

It is an arithmetic number, because the mean of its divisors is an integer number (17957940).

Almost surely, 2354415149 is an apocalyptic number.

It is an amenable number.

354415149 is a deficient number, since it is larger than the sum of its proper divisors (220238931).

354415149 is a wasteful number, since it uses less digits than its factorization.

354415149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 354415149 is about 18825.9169497796. The cubic root of 354415149 is about 707.6808206514.

The spelling of 354415149 in words is "three hundred fifty-four million, four hundred fifteen thousand, one hundred forty-nine".

Divisors: 1 3 9 11 27 33 99 297 337 1011 3033 3541 3707 9099 10623 11121 31869 33363 38951 95607 100089 116853 350559 1051677 1193317 3579951 10739853 13126487 32219559 39379461 118138383 354415149