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354052134 = 2349722531
BaseRepresentation
bin10101000110100…
…110100000100110
3220200012201020000
4111012212200212
51211114132014
655044322130
711526251652
oct2506464046
9820181200
10354052134
11171942677
129a6a3346
1358474707
1435043a62
1521139509
hex151a6826

354052134 has 40 divisors (see below), whose sum is σ = 801553368. Its totient is φ = 116795520.

The previous prime is 354052129. The next prime is 354052163. The reversal of 354052134 is 431250453.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 354052098 and 354052107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4449 + ... + 26979.

Almost surely, 2354052134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354052134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400776684).

354052134 is an abundant number, since it is smaller than the sum of its proper divisors (447501234).

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

354052134 is a wasteful number, since it uses less digits than its factorization.

354052134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22642 (or 22633 counting only the distinct ones).

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

The square root of 354052134 is about 18816.2731166403. The cubic root of 354052134 is about 707.4391205674.

It can be divided in two parts, 35 and 4052134, that added together give a square (4052169 = 20132).

The spelling of 354052134 in words is "three hundred fifty-four million, fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 15714 22531 45062 67593 135186 202779 405558 608337 1216674 1825011 2185507 3650022 4371014 6556521 13113042 19669563 39339126 59008689 118017378 177026067 354052134