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203456034 = 232175411229
BaseRepresentation
bin11000010000001…
…11111000100010
3112011211122012200
430020013320202
5404041043114
632104434030
75020230165
oct1410077042
9464748180
10203456034
11a4933591
1258178916
13331c73b2
141d041adc
1512cdd409
hexc207e22

203456034 has 48 divisors (see below), whose sum is σ = 467995320. Its totient is φ = 63659520.

The previous prime is 203456023. The next prime is 203456053. The reversal of 203456034 is 430654302.

203456034 is a `hidden beast` number, since 20 + 34 + 5 + 603 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 203148009 + 308025 = 14253^2 + 555^2 .

It is a junction number, because it is equal to n+sod(n) for n = 203455989 and 203456007.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164932 + ... + 166160.

Almost surely, 2203456034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203456034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233997660).

203456034 is an abundant number, since it is smaller than the sum of its proper divisors (264539286).

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

203456034 is a wasteful number, since it uses less digits than its factorization.

203456034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 203456034 is about 14263.8015269422. The cubic root of 203456034 is about 588.1528306052.

The spelling of 203456034 in words is "two hundred three million, four hundred fifty-six thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 541 1082 1229 1623 2458 3246 3687 4869 7374 9197 9738 11061 18394 20893 22122 27591 41786 55182 62679 82773 125358 165546 188037 376074 664889 1329778 1994667 3989334 5984001 11303113 11968002 22606226 33909339 67818678 101728017 203456034