[go: up one dir, main page]

Search a number
-
+
35441070 = 2357712377
BaseRepresentation
bin1000011100110…
…0100110101110
32110200121000020
42013030212232
533033103240
63303343010
7610146510
oct207144656
973617006
1035441070
1119007445
12ba51a66
13745b762
1449c7bb0
1531a10d0
hex21cc9ae

35441070 has 64 divisors (see below), whose sum is σ = 98620416. Its totient is φ = 7983360.

The previous prime is 35441069. The next prime is 35441089. The reversal of 35441070 is 7014453.

35441070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 35441070.

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 31 ways as a sum of consecutive naturals, for example, 13722 + ... + 16098.

It is an arithmetic number, because the mean of its divisors is an integer number (1540944).

Almost surely, 235441070 is an apocalyptic number.

35441070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35441070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49310208).

35441070 is an abundant number, since it is smaller than the sum of its proper divisors (63179346).

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

35441070 is a wasteful number, since it uses less digits than its factorization.

35441070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 35441070 is about 5953.2402941591. The cubic root of 35441070 is about 328.4749650213.

The spelling of 35441070 in words is "thirty-five million, four hundred forty-one thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2377 2485 2982 4754 4970 7131 7455 11885 14262 14910 16639 23770 33278 35655 49917 71310 83195 99834 166390 168767 249585 337534 499170 506301 843835 1012602 1181369 1687670 2362738 2531505 3544107 5063010 5906845 7088214 11813690 17720535 35441070