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202363434 = 23472133753
BaseRepresentation
bin11000000111111…
…01001000101010
3112002210010110000
430003331020222
5403301112214
632025203430
75005026600
oct1403751052
9462703400
10202363434
11a4257709
1257930576
1332c03ca0
141cc39870
1512b74809
hexc0fd22a

202363434 has 240 divisors, whose sum is σ = 594411048. Its totient is φ = 50948352.

The previous prime is 202363417. The next prime is 202363457. The reversal of 202363434 is 434363202.

It is a happy number.

202363434 is a `hidden beast` number, since 2 + 0 + 23 + 634 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 190357209 + 12006225 = 13797^2 + 3465^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202363398 and 202363407.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3818152 + ... + 3818204.

Almost surely, 2202363434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202363434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297205524).

202363434 is an abundant number, since it is smaller than the sum of its proper divisors (392047614).

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

202363434 is a wasteful number, since it uses less digits than its factorization.

202363434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 202363434 is about 14225.4502213462. The cubic root of 202363434 is about 587.0981071516.

The spelling of 202363434 in words is "two hundred two million, three hundred sixty-three thousand, four hundred thirty-four".