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202340034 = 232134331997
BaseRepresentation
bin11000000111101…
…11011011000010
3112002201221100100
430003313123002
5403244340114
632024503230
75004601431
oct1403673302
9462657310
10202340034
11a4241076
125791ab16
1332bc6440
141cc31118
1512b6c909
hexc0f76c2

202340034 has 48 divisors (see below), whose sum is σ = 473454072. Its totient is φ = 62083584.

The previous prime is 202340023. The next prime is 202340051. The reversal of 202340034 is 430043202.

202340034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37859409 + 164480625 = 6153^2 + 12825^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202339989 and 202340016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100324 + ... + 102320.

Almost surely, 2202340034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202340034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236727036).

202340034 is an abundant number, since it is smaller than the sum of its proper divisors (271114038).

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

202340034 is a wasteful number, since it uses less digits than its factorization.

202340034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 202340034 is about 14224.6277279934. The cubic root of 202340034 is about 587.0754768688.

Adding to 202340034 its reverse (430043202), we get a palindrome (632383236).

The spelling of 202340034 in words is "two hundred two million, three hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 433 866 1299 1997 2598 3897 3994 5629 5991 7794 11258 11982 16887 17973 25961 33774 35946 50661 51922 77883 101322 155766 233649 467298 864701 1729402 2594103 5188206 7782309 11241113 15564618 22482226 33723339 67446678 101170017 202340034