Search a number
-
+
134634870 = 232523193337
BaseRepresentation
bin10000000011001…
…01110101110110
3100101100011022200
420001211311312
5233431303440
621205405330
73223243326
oct1001456566
9311304280
10134634870
1169aa8197
1239109846
1321b7c306
1413c49286
15bc46c30
hex8065d76

134634870 has 96 divisors (see below), whose sum is σ = 368252352. Its totient is φ = 34062336.

The previous prime is 134634853. The next prime is 134634901. The reversal of 134634870 is 78436431.

134634870 is a `hidden beast` number, since 13 + 4 + 634 + 8 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399342 + ... + 399678.

It is an arithmetic number, because the mean of its divisors is an integer number (3835962).

Almost surely, 2134634870 is an apocalyptic number.

134634870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134634870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184126176).

134634870 is an abundant number, since it is smaller than the sum of its proper divisors (233617482).

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

134634870 is a wasteful number, since it uses less digits than its factorization.

134634870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 134634870 is about 11603.2267063951. The cubic root of 134634870 is about 512.5298749192.

The spelling of 134634870 in words is "one hundred thirty-four million, six hundred thirty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 193 207 230 337 345 386 414 579 674 690 965 1011 1035 1158 1685 1737 1930 2022 2070 2895 3033 3370 3474 4439 5055 5790 6066 7751 8685 8878 10110 13317 15165 15502 17370 22195 23253 26634 30330 38755 39951 44390 46506 65041 66585 69759 77510 79902 116265 130082 133170 139518 195123 199755 232530 325205 348795 390246 399510 585369 650410 697590 975615 1170738 1495943 1951230 2926845 2991886 4487829 5853690 7479715 8975658 13463487 14959430 22439145 26926974 44878290 67317435 134634870