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202434132 = 223192338603
BaseRepresentation
bin11000001000011…
…10011001010100
3112002220201102110
430010032121110
5403310343012
632030511020
75005442655
oct1404163124
9462821373
10202434132
11a42a583a
1257965470
1332c2a214
141cc5752c
1512b8a73c
hexc10e654

202434132 has 48 divisors (see below), whose sum is σ = 518837760. Its totient is φ = 61145568.

The previous prime is 202434131. The next prime is 202434137. The reversal of 202434132 is 231434202.

Adding to 202434132 its reverse (231434202), we get a palindrome (433868334).

It can be divided in two parts, 202434 and 132, that added together give a triangular number (202566 = T636).

202434132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202434099 and 202434108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202434131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14058 + ... + 24545.

It is an arithmetic number, because the mean of its divisors is an integer number (10809120).

Almost surely, 2202434132 is an apocalyptic number.

It is an amenable number.

202434132 is an abundant number, since it is smaller than the sum of its proper divisors (316403628).

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

202434132 is a wasteful number, since it uses less digits than its factorization.

202434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38652 (or 38650 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 202434132 is about 14227.9349169161. The cubic root of 202434132 is about 587.1664690233.

The spelling of 202434132 in words is "two hundred two million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 38603 77206 115809 154412 231618 463236 733457 887869 1466914 1775738 2200371 2663607 2933828 3551476 4400742 5327214 8801484 10654428 16869511 33739022 50608533 67478044 101217066 202434132