Search a number
-
+
3836354064 = 243563141961
BaseRepresentation
bin1110010010101010…
…0001111000010000
3100220100202222102120
43210222201320100
530324101312224
61432402214240
7164032320504
oct34452417020
910810688376
103836354064
111699581654
128b0954380
13491a555ba
14285716304
15176bec779
hexe4aa1e10

3836354064 has 40 divisors (see below), whose sum is σ = 9928254432. Its totient is φ = 1276504320.

The previous prime is 3836354063. The next prime is 3836354077. The reversal of 3836354064 is 4604536383.

It is a super-3 number, since 3×38363540643 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3836354063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43957 + ... + 98004.

Almost surely, 23836354064 is an apocalyptic number.

It is an amenable number.

3836354064 is an abundant number, since it is smaller than the sum of its proper divisors (6091900368).

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

3836354064 is a wasteful number, since it uses less digits than its factorization.

3836354064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142535 (or 142529 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3836354064 is about 61938.3085335723. The cubic root of 3836354064 is about 1565.4512968637.

The spelling of 3836354064 in words is "three billion, eight hundred thirty-six million, three hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 563 1126 1689 2252 3378 4504 6756 9008 13512 27024 141961 283922 425883 567844 851766 1135688 1703532 2271376 3407064 6814128 79924043 159848086 239772129 319696172 479544258 639392344 959088516 1278784688 1918177032 3836354064