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349751142 = 233131273923
BaseRepresentation
bin10100110110001…
…100011101100110
3220101010012101000
4110312030131212
51204014014032
654412214130
711444556426
oct2466143546
9811105330
10349751142
1116a475234
129916a346
13575c9b50
1434644486
1520a89e7c
hex14d8c766

349751142 has 64 divisors (see below), whose sum is σ = 843816960. Its totient is φ = 106741152.

The previous prime is 349751137. The next prime is 349751153. The reversal of 349751142 is 241157943.

It is a super-2 number, since 2×3497511422 = 244651722660608328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349751097 and 349751106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87193 + ... + 91115.

It is an arithmetic number, because the mean of its divisors is an integer number (13184640).

Almost surely, 2349751142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349751142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421908480).

349751142 is an abundant number, since it is smaller than the sum of its proper divisors (494065818).

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

349751142 is a wasteful number, since it uses less digits than its factorization.

349751142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4068 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 349751142 is about 18701.6347413802. The cubic root of 349751142 is about 704.5628072550.

The spelling of 349751142 in words is "three hundred forty-nine million, seven hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 127 234 254 351 381 702 762 1143 1651 2286 3302 3429 3923 4953 6858 7846 9906 11769 14859 23538 29718 35307 44577 50999 70614 89154 101998 105921 152997 211842 305994 458991 498221 917982 996442 1376973 1494663 2753946 2989326 4483989 6476873 8967978 12953746 13451967 19430619 26903934 38861238 58291857 116583714 174875571 349751142