Search a number
-
+
261478734 = 231117241967
BaseRepresentation
bin11111001010111…
…01100101001110
3200020000111101120
433211131211032
51013414304414
641540221410
76323350446
oct1745354516
9606014346
10261478734
11124663930
127369a866
134223135a
1426a27126
1517e502a9
hexf95d94e

261478734 has 64 divisors (see below), whose sum is σ = 607191552. Its totient is φ = 74188800.

The previous prime is 261478687. The next prime is 261478753. The reversal of 261478734 is 437874162.

It is a super-2 number, since 2×2614787342 = 136742256668485512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269919 + ... + 270885.

It is an arithmetic number, because the mean of its divisors is an integer number (9487368).

Almost surely, 2261478734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261478734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303595776).

261478734 is an abundant number, since it is smaller than the sum of its proper divisors (345712818).

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

261478734 is a wasteful number, since it uses less digits than its factorization.

261478734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its digits is 225792, while the sum is 42.

The square root of 261478734 is about 16170.3040787735. The cubic root of 261478734 is about 639.4581465146.

The spelling of 261478734 in words is "two hundred sixty-one million, four hundred seventy-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 241 374 482 561 723 967 1122 1446 1934 2651 2901 4097 5302 5802 7953 8194 10637 12291 15906 16439 21274 24582 31911 32878 45067 49317 63822 90134 98634 135201 180829 233047 270402 361658 466094 542487 699141 1084974 1398282 2563517 3961799 5127034 7690551 7923598 11885397 15381102 23770794 43579789 87159578 130739367 261478734