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344891142 = 233291131949
BaseRepresentation
bin10100100011101…
…001111100000110
3220000222021201000
4110203221330012
51201243004032
654120114130
711355345351
oct2443517406
9800867630
10344891142
11167755902
1297605946
13565b79cb
1433b3b298
1520429e7c
hex148e9f06

344891142 has 64 divisors (see below), whose sum is σ = 800280000. Its totient is φ = 109960704.

The previous prime is 344891119. The next prime is 344891147. The reversal of 344891142 is 241198443.

It is a happy number.

344891142 is a `hidden beast` number, since 34 + 489 + 1 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344891097 and 344891106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344891147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175984 + ... + 177932.

It is an arithmetic number, because the mean of its divisors is an integer number (12504375).

Almost surely, 2344891142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344891142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400140000).

344891142 is an abundant number, since it is smaller than the sum of its proper divisors (455388858).

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

344891142 is a wasteful number, since it uses less digits than its factorization.

344891142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 344891142 is about 18571.2450309612. The cubic root of 344891142 is about 701.2841340015.

The spelling of 344891142 in words is "three hundred forty-four million, eight hundred ninety-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 113 174 226 261 339 522 678 783 1017 1566 1949 2034 3051 3277 3898 5847 6102 6554 9831 11694 17541 19662 29493 35082 52623 56521 58986 88479 105246 113042 169563 176958 220237 339126 440474 508689 660711 1017378 1321422 1526067 1982133 3052134 3964266 5946399 6386873 11892798 12773746 19160619 38321238 57481857 114963714 172445571 344891142