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134040032 = 2573197199
BaseRepresentation
bin1111111110101…
…00100111100000
3100100012221100122
413333110213200
5233303240112
621144535412
73215215160
oct777244740
9310187318
10134040032
1169731295
1238a81568
1321a01639
1413b325a0
15bb7a872
hex7fd49e0

134040032 has 96 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 54743040.

The previous prime is 134040031. The next prime is 134040061. The reversal of 134040032 is 230040431.

It is a super-2 number, since 2×1340400322 = 35933460357122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134040031) 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, 673469 + ... + 673667.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 2134040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

134040032 is an abundant number, since it is smaller than the sum of its proper divisors (182068768).

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

134040032 is a wasteful number, since it uses less digits than its factorization.

134040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 134040032 is about 11577.5658927082. The cubic root of 134040032 is about 511.7739480626.

Adding to 134040032 its reverse (230040431), we get a palindrome (364080463).

The spelling of 134040032 in words is "one hundred thirty-four million, forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 97 112 124 194 199 217 224 248 388 398 434 496 679 776 796 868 992 1358 1393 1552 1592 1736 2716 2786 3007 3104 3184 3472 5432 5572 6014 6169 6368 6944 10864 11144 12028 12338 19303 21049 21728 22288 24056 24676 38606 42098 43183 44576 48112 49352 77212 84196 86366 96224 98704 135121 154424 168392 172732 197408 270242 308848 336784 345464 540484 598393 617696 673568 690928 1080968 1196786 1381856 2161936 2393572 4188751 4323872 4787144 8377502 9574288 16755004 19148576 33510008 67020016 134040032