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134431240 = 23517229401
BaseRepresentation
bin10000000001101…
…00001000001000
3100100221210222211
420000310020020
5233403244430
621201154504
73221434546
oct1000641010
9310853884
10134431240
11699791a9
123902ba34
1321b0a718
1413bd4d96
15bc0672a
hex8034208

134431240 has 96 divisors (see below), whose sum is σ = 333217800. Its totient is φ = 48742400.

The previous prime is 134431237. The next prime is 134431259. The reversal of 134431240 is 42134431.

It can be written as a sum of positive squares in 12 ways, for example, as 91738084 + 42693156 = 9578^2 + 6534^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335040 + ... + 335440.

Almost surely, 2134431240 is an apocalyptic number.

134431240 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 134431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166608900).

134431240 is an abundant number, since it is smaller than the sum of its proper divisors (198786560).

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

134431240 is a wasteful number, since it uses less digits than its factorization.

134431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

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

The square root of 134431240 is about 11594.4486716704. The cubic root of 134431240 is about 512.2713507112.

Adding to 134431240 its reverse (42134431), we get a palindrome (176565671).

The spelling of 134431240 in words is "one hundred thirty-four million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 289 290 340 401 493 578 580 680 802 986 1156 1160 1445 1604 1972 2005 2312 2465 2890 3208 3944 4010 4930 5780 6817 8020 8381 9860 11560 11629 13634 16040 16762 19720 23258 27268 33524 34085 41905 46516 54536 58145 67048 68170 83810 93032 115889 116290 136340 167620 197693 231778 232580 272680 335240 395386 463556 465160 579445 790772 927112 988465 1158890 1581544 1976930 2317780 3360781 3953860 4635560 6721562 7907720 13443124 16803905 26886248 33607810 67215620 134431240