[go: up one dir, main page]

Search a number
-
+
1044352100 = 22521119107467
BaseRepresentation
bin111110001111111…
…000110001100100
32200210010120202102
4332033320301210
54114323231400
6251344031232
734610563211
oct7617706144
92623116672
101044352100
11496567210
12251902518
1313849892c
149c9b4b08
1561a429d5
hex3e3f8c64

1044352100 has 144 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 355651200.

The previous prime is 1044352091. The next prime is 1044352129. The reversal of 1044352100 is 12534401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 2236067 + ... + 2236533.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 21044352100 is an apocalyptic number.

1044352100 is a gapful number since it is divisible by the number (10) 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 1044352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1044352100 is an abundant number, since it is smaller than the sum of its proper divisors (1587979420).

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

1044352100 is a wasteful number, since it uses less digits than its factorization.

1044352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1044352100 is about 32316.4369941985. The cubic root of 1044352100 is about 1014.5706969779.

Adding to 1044352100 its reverse (12534401), we get a palindrome (1056886501).

The spelling of 1044352100 in words is "one billion, forty-four million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 107 110 190 209 214 220 275 380 418 428 467 475 535 550 836 934 950 1045 1070 1100 1177 1868 1900 2033 2090 2140 2335 2354 2675 4066 4180 4670 4708 5137 5225 5350 5885 8132 8873 9340 10165 10274 10450 10700 11675 11770 17746 20330 20548 20900 22363 23350 23540 25685 29425 35492 40660 44365 44726 46700 49969 50825 51370 58850 88730 89452 97603 99938 101650 102740 111815 117700 128425 177460 195206 199876 203300 221825 223630 249845 256850 390412 443650 447260 488015 499690 513700 549659 559075 887300 949411 976030 999380 1099318 1118150 1249225 1898822 1952060 2198636 2236300 2440075 2498450 2748295 3797644 4747055 4880150 4996900 5496590 9494110 9760300 10443521 10993180 13741475 18988220 20887042 23735275 27482950 41774084 47470550 52217605 54965900 94941100 104435210 208870420 261088025 522176050 1044352100