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134321440 = 25511167457
BaseRepresentation
bin10000000000110…
…01010100100000
3100100202020101011
420000121110200
5233341241230
621154550304
73220466461
oct1000312440
9310666334
10134321440
1169903760
1238b98394
1321a9c756
1413ba6d68
15bbd3e2a
hex8019520

134321440 has 96 divisors (see below), whose sum is σ = 349017984. Its totient is φ = 48445440.

The previous prime is 134321413. The next prime is 134321443. The reversal of 134321440 is 44123431.

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

It is not an unprimeable number, because it can be changed into a prime (134321443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293692 + ... + 294148.

It is an arithmetic number, because the mean of its divisors is an integer number (3635604).

Almost surely, 2134321440 is an apocalyptic number.

134321440 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 134321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174508992).

134321440 is an abundant number, since it is smaller than the sum of its proper divisors (214696544).

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

134321440 is a wasteful number, since it uses less digits than its factorization.

134321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 134321440 is about 11589.7126797863. The cubic root of 134321440 is about 512.1318426745.

Adding to 134321440 its reverse (44123431), we get a palindrome (178444871).

The spelling of 134321440 in words is "one hundred thirty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 167 176 220 334 352 440 457 668 835 880 914 1336 1670 1760 1828 1837 2285 2672 3340 3656 3674 4570 5027 5344 6680 7312 7348 9140 9185 10054 13360 14624 14696 18280 18370 20108 25135 26720 29392 36560 36740 40216 50270 58784 73120 73480 76319 80432 100540 146960 152638 160864 201080 293920 305276 381595 402160 610552 763190 804320 839509 1221104 1526380 1679018 2442208 3052760 3358036 4197545 6105520 6716072 8395090 12211040 13432144 16790180 26864288 33580360 67160720 134321440