Search a number
-
+
134342124 = 22373127257
BaseRepresentation
bin10000000000111…
…10010111101100
3100100210021202020
420000132113230
5233342421444
621155230140
73220614000
oct1000362754
9310707666
10134342124
1169918254
1238ba8350
1321aa8ca7
1413bb0700
15bbda119
hex801e5ec

134342124 has 96 divisors (see below), whose sum is σ = 369868800. Its totient is φ = 37933056.

The previous prime is 134342111. The next prime is 134342137. The reversal of 134342124 is 421243431.

It is an interprime number because it is at equal distance from previous prime (134342111) and next prime (134342137).

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

It is a junction number, because it is equal to n+sod(n) for n = 134342094 and 134342103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522604 + ... + 522860.

It is an arithmetic number, because the mean of its divisors is an integer number (3852800).

Almost surely, 2134342124 is an apocalyptic number.

134342124 is a gapful number since it is divisible by the number (14) 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 134342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184934400).

134342124 is an abundant number, since it is smaller than the sum of its proper divisors (235526676).

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

134342124 is a wasteful number, since it uses less digits than its factorization.

134342124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 134342124 is about 11590.6049885241. The cubic root of 134342124 is about 512.1581288513.

Adding to 134342124 its reverse (421243431), we get a palindrome (555585555).

The spelling of 134342124 in words is "one hundred thirty-four million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 257 294 343 381 508 514 588 686 762 771 889 1028 1029 1372 1524 1542 1778 1799 2058 2667 3084 3556 3598 4116 5334 5397 6223 7196 10668 10794 12446 12593 18669 21588 24892 25186 32639 37338 37779 43561 50372 65278 74676 75558 87122 88151 97917 130556 130683 151116 174244 176302 195834 228473 261366 264453 352604 391668 456946 522732 528906 685419 913892 1057812 1370838 1599311 2741676 3198622 4797933 6397244 9595866 11195177 19191732 22390354 33585531 44780708 67171062 134342124