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323142876 = 223276719139
BaseRepresentation
bin10011010000101…
…100010011011100
3211112001100200200
4103100230103130
51130211033001
652022023500
711002445340
oct2320542334
9745040620
10323142876
11156451031
1290277b90
1351c41904
1430cb9620
151d581086
hex1342c4dc

323142876 has 72 divisors (see below), whose sum is σ = 947506560. Its totient is φ = 90943776.

The previous prime is 323142857. The next prime is 323142877. The reversal of 323142876 is 678241323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 323142876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323142877) 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 23 ways as a sum of consecutive naturals, for example, 7315 + ... + 26453.

Almost surely, 2323142876 is an apocalyptic number.

323142876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323142876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473753280).

323142876 is an abundant number, since it is smaller than the sum of its proper divisors (624363684).

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

323142876 is a wasteful number, since it uses less digits than its factorization.

323142876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223 (or 19218 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 323142876 is about 17976.1752327908. The cubic root of 323142876 is about 686.2223550829. Note that the first 3 decimals are identical.

The spelling of 323142876 in words is "three hundred twenty-three million, one hundred forty-two thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 4221 5628 8442 16884 19139 38278 57417 76556 114834 133973 172251 229668 267946 344502 401919 535892 689004 803838 1205757 1282313 1607676 2411514 2564626 3846939 4823028 5129252 7693878 8976191 11540817 15387756 17952382 23081634 26928573 35904764 46163268 53857146 80785719 107714292 161571438 323142876