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434348136 = 23336730013
BaseRepresentation
bin11001111000111…
…010000001101000
31010021022011122000
4121320322001220
51342143120021
6111033331000
713522620045
oct3170720150
91107264560
10434348136
112031a6202
12101566a60
136bca9741
14419861cc
15281eab26
hex19e3a068

434348136 has 64 divisors (see below), whose sum is σ = 1224571200. Its totient is φ = 142617024.

The previous prime is 434348119. The next prime is 434348153. The reversal of 434348136 is 631843434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434348119) and next prime (434348153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 434348136.

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 15 ways as a sum of consecutive naturals, for example, 535 + ... + 29478.

It is an arithmetic number, because the mean of its divisors is an integer number (19133925).

Almost surely, 2434348136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434348136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612285600).

434348136 is an abundant number, since it is smaller than the sum of its proper divisors (790223064).

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

434348136 is a wasteful number, since it uses less digits than its factorization.

434348136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30095 (or 30085 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 434348136 is about 20841.0205124413. The cubic root of 434348136 is about 757.3198159810.

The spelling of 434348136 in words is "four hundred thirty-four million, three hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 30013 60026 90039 120052 180078 240104 270117 360156 540234 720312 810351 1080468 1620702 2010871 2160936 3241404 4021742 6032613 6482808 8043484 12065226 16086968 18097839 24130452 36195678 48260904 54293517 72391356 108587034 144782712 217174068 434348136