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354142044 = 22344612371
BaseRepresentation
bin10101000110111…
…100011101011100
3220200101021120000
4111012330131130
51211130021134
655050254300
711530105044
oct2506743534
9820337500
10354142044
111719a4183
129a727390
13584a6609
1435068724
1521155e99
hex151bc75c

354142044 has 60 divisors (see below), whose sum is σ = 928196808. Its totient is φ = 117741600.

The previous prime is 354142021. The next prime is 354142049. The reversal of 354142044 is 440241453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 354141999 and 354142017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354142049) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148179 + ... + 150549.

Almost surely, 2354142044 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 354142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464098404).

354142044 is an abundant number, since it is smaller than the sum of its proper divisors (574054764).

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

354142044 is a wasteful number, since it uses less digits than its factorization.

354142044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 354142044 is about 18818.6621203528. The cubic root of 354142044 is about 707.4989991953.

Adding to 354142044 its reverse (440241453), we get a palindrome (794383497).

The spelling of 354142044 in words is "three hundred fifty-four million, one hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 461 922 1383 1844 2371 2766 4149 4742 5532 7113 8298 9484 12447 14226 16596 21339 24894 28452 37341 42678 49788 64017 74682 85356 128034 149364 192051 256068 384102 768204 1093031 2186062 3279093 4372124 6558186 9837279 13116372 19674558 29511837 39349116 59023674 88535511 118047348 177071022 354142044