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354167142 = 23783283359
BaseRepresentation
bin10101000111000…
…010100101100110
3220200102112222120
4111013002211212
51211131322032
655051010410
711530241160
oct2507024546
9820375876
10354167142
11171a1101a
129a739a06
13584b4b74
1435073930
152115d62c
hex151c2966

354167142 has 64 divisors (see below), whose sum is σ = 824463360. Its totient is φ = 99340704.

The previous prime is 354167141. The next prime is 354167161. The reversal of 354167142 is 241761453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354167141) 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 31 ways as a sum of consecutive naturals, for example, 986359 + ... + 986717.

It is an arithmetic number, because the mean of its divisors is an integer number (12882240).

Almost surely, 2354167142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354167142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412231680).

354167142 is an abundant number, since it is smaller than the sum of its proper divisors (470296218).

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

354167142 is a wasteful number, since it uses less digits than its factorization.

354167142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737.

The product of its digits is 20160, while the sum is 33.

The square root of 354167142 is about 18819.3289465911. The cubic root of 354167142 is about 707.5157122541.

The spelling of 354167142 in words is "three hundred fifty-four million, one hundred sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 283 359 498 566 581 718 849 1077 1162 1698 1743 1981 2154 2513 3486 3962 5026 5943 7539 11886 15078 23489 29797 46978 59594 70467 89391 101597 140934 164423 178782 203194 208579 304791 328846 417158 493269 609582 625737 711179 986538 1251474 1422358 2133537 4267074 8432551 16865102 25297653 50595306 59027857 118055714 177083571 354167142