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134430340 = 225114713001
BaseRepresentation
bin10000000001100…
…11111010000100
3100100221202202111
420000303322010
5233403232330
621201150404
73221432122
oct1000637204
9310852674
10134430340
1169978560
123902b404
1321b0a1a5
1413bd4912
15bc0632a
hex8033e84

134430340 has 48 divisors (see below), whose sum is σ = 314544384. Its totient is φ = 47840000.

The previous prime is 134430323. The next prime is 134430383. The reversal of 134430340 is 43034431.

134430340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

134430340 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840 + ... + 16840.

It is an arithmetic number, because the mean of its divisors is an integer number (6553008).

Almost surely, 2134430340 is an apocalyptic number.

134430340 is a gapful number since it is divisible by the number (10) 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 134430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157272192).

134430340 is an abundant number, since it is smaller than the sum of its proper divisors (180114044).

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

134430340 is a wasteful number, since it uses less digits than its factorization.

134430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 134430340 is about 11594.4098599282. The cubic root of 134430340 is about 512.2702075115.

Adding to 134430340 its reverse (43034431), we get a palindrome (177464771).

It can be divided in two parts, 1344 and 30340, that added together give a square (31684 = 1782).

The spelling of 134430340 in words is "one hundred thirty-four million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 13001 26002 52004 65005 130010 143011 260020 286022 572044 611047 715055 1222094 1430110 2444188 2860220 3055235 6110470 6721517 12220940 13443034 26886068 33607585 67215170 134430340