Search a number
-
+
1201541344 = 25235932753
BaseRepresentation
bin100011110011110…
…0001000011100000
310002201220121212021
41013213201003200
54430043310334
6315121111224
741526634663
oct10747410340
93081817767
101201541344
11567269883
12296488514
13161c13c13
14b58116da
15707423b4
hex479e10e0

1201541344 has 48 divisors (see below), whose sum is σ = 2473444512. Its totient is φ = 573472768.

The previous prime is 1201541333. The next prime is 1201541359. The reversal of 1201541344 is 4431451021.

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 7 ways as a sum of consecutive naturals, for example, 435072 + ... + 437824.

It is an arithmetic number, because the mean of its divisors is an integer number (51530094).

Almost surely, 21201541344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236722256).

1201541344 is an abundant number, since it is smaller than the sum of its proper divisors (1271903168).

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

1201541344 is a wasteful number, since it uses less digits than its factorization.

1201541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1201541344 is about 34663.2563963630. The cubic root of 1201541344 is about 1063.1133529691.

Adding to 1201541344 its reverse (4431451021), we get a palindrome (5632992365).

The spelling of 1201541344 in words is "one billion, two hundred one million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 593 736 1186 2372 2753 4744 5506 9488 11012 13639 18976 22024 27278 44048 54556 63319 88096 109112 126638 218224 253276 436448 506552 1013104 1632529 2026208 3265058 6530116 13060232 26120464 37548167 52240928 75096334 150192668 300385336 600770672 1201541344