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234857142 = 2321317431373
BaseRepresentation
bin11011111111110…
…10001010110110
3121100220222102200
431333322022312
5440110412032
635145445330
75551152462
oct1577721266
9540828380
10234857142
11110630713
12667a0846
1339870030
14232974a2
151594247c
hexdffa2b6

234857142 has 96 divisors (see below), whose sum is σ = 594161568. Its totient is φ = 66382848.

The previous prime is 234857141. The next prime is 234857153. The reversal of 234857142 is 241758432.

It is a happy number.

234857142 is a `hidden beast` number, since 2 + 3 + 48 + 571 + 42 = 666.

234857142 is a modest number, since divided by 857142 gives 234 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 234857097 and 234857106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234857141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170368 + ... + 171740.

It is an arithmetic number, because the mean of its divisors is an integer number (6189183).

Almost surely, 2234857142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234857142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297080784).

234857142 is an abundant number, since it is smaller than the sum of its proper divisors (359304426).

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

234857142 is a wasteful number, since it uses less digits than its factorization.

234857142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1451 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 234857142 is about 15325.0494942105. The cubic root of 234857142 is about 616.9755074699.

The spelling of 234857142 in words is "two hundred thirty-four million, eight hundred fifty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 43 51 78 86 102 117 129 153 221 234 258 306 387 442 559 663 731 774 1118 1326 1373 1462 1677 1989 2193 2746 3354 3978 4119 4386 5031 6579 8238 9503 10062 12357 13158 17849 19006 23341 24714 28509 35698 46682 53547 57018 59039 70023 85527 107094 118078 140046 160641 171054 177117 210069 303433 321282 354234 420138 531351 606866 767507 910299 1003663 1062702 1535014 1820598 2007326 2302521 2730897 3010989 4605042 5461794 6021978 6907563 9032967 13047619 13815126 18065934 26095238 39142857 78285714 117428571 234857142