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134314344 = 233219472089
BaseRepresentation
bin10000000000101…
…11100101101000
3100100201212122100
420000113211220
5233341024334
621154453400
73220440003
oct1000274550
9310655570
10134314344
11698a939a
1238b94260
1321a99458
1413ba453a
15bbd1c99
hex8017968

134314344 has 96 divisors (see below), whose sum is σ = 391248000. Its totient is φ = 41492736.

The previous prime is 134314343. The next prime is 134314357. The reversal of 134314344 is 443413431.

134314344 is a `hidden beast` number, since 1 + 3 + 4 + 314 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134314343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63252 + ... + 65340.

It is an arithmetic number, because the mean of its divisors is an integer number (4075500).

Almost surely, 2134314344 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 134314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195624000).

134314344 is an abundant number, since it is smaller than the sum of its proper divisors (256933656).

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

134314344 is a wasteful number, since it uses less digits than its factorization.

134314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2160 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 134314344 is about 11589.4065421833. The cubic root of 134314344 is about 512.1228241303.

Adding to 134314344 its reverse (443413431), we get a palindrome (577727775).

The spelling of 134314344 in words is "one hundred thirty-four million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 2089 2679 3384 3572 4178 5358 6267 7144 8037 8356 10716 12534 16074 16712 18801 21432 25068 32148 37602 39691 50136 64296 75204 79382 98183 119073 150408 158764 196366 238146 294549 317528 357219 392732 476292 589098 714438 785464 883647 952584 1178196 1428876 1767294 1865477 2356392 2857752 3534588 3730954 5596431 7069176 7461908 11192862 14923816 16789293 22385724 33578586 44771448 67157172 134314344