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434241104 = 241123107273
BaseRepresentation
bin11001111000011…
…111111001010000
31010021002201210212
4121320133321100
51342131203404
6111031143252
713521663023
oct3170377120
91107081725
10434241104
11203132850
12101514b28
136bc6cacb
14419591ba
15281c906e
hex19e1fe50

434241104 has 40 divisors (see below), whose sum is σ = 957742272. Its totient is φ = 188798720.

The previous prime is 434241103. The next prime is 434241107. The reversal of 434241104 is 401142434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 434241104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434241103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49589 + ... + 57684.

Almost surely, 2434241104 is an apocalyptic number.

434241104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434241104 is an abundant number, since it is smaller than the sum of its proper divisors (523501168).

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

434241104 is a wasteful number, since it uses less digits than its factorization.

434241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107315 (or 107309 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 434241104 is about 20838.4525337176. The cubic root of 434241104 is about 757.2576046603.

Adding to 434241104 its reverse (401142434), we get a palindrome (835383538).

The spelling of 434241104 in words is "four hundred thirty-four million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 107273 214546 429092 858184 1180003 1716368 2360006 2467279 4720012 4934558 9440024 9869116 18880048 19738232 27140069 39476464 54280138 108560276 217120552 434241104