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134322432 = 2832937163
BaseRepresentation
bin10000000000110…
…01100100000000
3100100202021201220
420000121210000
5233341304212
621154555040
73220502406
oct1000314400
9310667656
10134322432
1169904482
1238b98a80
1321aa003a
1413ba7476
15bbd438c
hex8019900

134322432 has 144 divisors (see below), whose sum is σ = 382146240. Its totient is φ = 41803776.

The previous prime is 134322431. The next prime is 134322451. The reversal of 134322432 is 234223431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (134322431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823983 + ... + 824145.

Almost surely, 2134322432 is an apocalyptic number.

134322432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191073120).

134322432 is an abundant number, since it is smaller than the sum of its proper divisors (247823808).

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

134322432 is a wasteful number, since it uses less digits than its factorization.

134322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 134322432 is about 11589.7554762816. The cubic root of 134322432 is about 512.1331034153.

Adding to 134322432 its reverse (234223431), we get a palindrome (368545863).

Subtracting 134322432 from its reverse (234223431), we obtain a palindrome (99900999).

The spelling of 134322432 in words is "one hundred thirty-four million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 128 148 163 174 192 222 232 256 296 326 348 384 444 464 489 592 652 696 768 888 928 978 1073 1184 1304 1392 1776 1856 1956 2146 2368 2608 2784 3219 3552 3712 3912 4292 4727 4736 5216 5568 6031 6438 7104 7424 7824 8584 9454 9472 10432 11136 12062 12876 14181 14208 15648 17168 18093 18908 20864 22272 24124 25752 28362 28416 31296 34336 36186 37816 41728 48248 51504 56724 62592 68672 72372 75632 96496 103008 113448 125184 137344 144744 151264 174899 192992 206016 226896 274688 289488 302528 349798 385984 412032 453792 524697 578976 605056 699596 771968 824064 907584 1049394 1157952 1210112 1399192 1543936 1815168 2098788 2315904 2798384 3630336 4197576 4631808 5596768 8395152 11193536 16790304 22387072 33580608 44774144 67161216 134322432