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134010432 = 26321971181
BaseRepresentation
bin1111111110011…
…01011001000000
3100100011102202100
413333031121000
5233301313212
621144150400
73215032653
oct777153100
9310142670
10134010432
1169711026
1238a68400
13219c101a
1413b2589a
15bb71bdc
hex7fcd640

134010432 has 84 divisors (see below), whose sum is σ = 386393436. Its totient is φ = 44405760.

The previous prime is 134010419. The next prime is 134010433. The reversal of 134010432 is 234010431.

It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 6230016 = 11304^2 + 2496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134010433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112882 + ... + 114062.

Almost surely, 2134010432 is an apocalyptic number.

134010432 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 134010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193196718).

134010432 is an abundant number, since it is smaller than the sum of its proper divisors (252383004).

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

134010432 is a wasteful number, since it uses less digits than its factorization.

134010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134010432 is about 11576.2874877916. The cubic root of 134010432 is about 511.7362736856.

Adding to 134010432 its reverse (234010431), we get a palindrome (368020863).

Subtracting 134010432 from its reverse (234010431), we obtain a palindrome (99999999).

The spelling of 134010432 in words is "one hundred thirty-four million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 197 288 394 576 591 788 1181 1182 1576 1773 2362 2364 3152 3543 3546 4724 4728 6304 7086 7092 9448 9456 10629 12608 14172 14184 18896 18912 21258 28344 28368 37792 37824 42516 56688 56736 75584 85032 113376 113472 170064 226752 232657 340128 465314 680256 697971 930628 1395942 1861256 2093913 2791884 3722512 4187826 5583768 7445024 8375652 11167536 14890048 16751304 22335072 33502608 44670144 67005216 134010432