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1053341344 = 25118933623
BaseRepresentation
bin111110110010001…
…011011010100000
32201102001021200101
4332302023122200
54124123410334
6252304432144
735050153006
oct7662133240
92642037611
101053341344
114a0646a40
12254918654
1313a2c5403
149dc74a76
156271b214
hex3ec8b6a0

1053341344 has 48 divisors (see below), whose sum is σ = 2287776960. Its totient is φ = 473397760.

The previous prime is 1053341339. The next prime is 1053341353. The reversal of 1053341344 is 4431433501.

1053341344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10533413442 = 2219055973959452672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14517 + ... + 48139.

It is an arithmetic number, because the mean of its divisors is an integer number (47662020).

Almost surely, 21053341344 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 1053341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143888480).

1053341344 is an abundant number, since it is smaller than the sum of its proper divisors (1234435616).

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

1053341344 is a wasteful number, since it uses less digits than its factorization.

1053341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33733 (or 33725 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1053341344 is about 32455.2205970010. The cubic root of 1053341344 is about 1017.4733516717.

Adding to 1053341344 its reverse (4431433501), we get a palindrome (5484774845).

The spelling of 1053341344 in words is "one billion, fifty-three million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3916 7832 15664 31328 33623 67246 134492 268984 369853 537968 739706 1075936 1479412 2958824 2992447 5917648 5984894 11835296 11969788 23939576 32916917 47879152 65833834 95758304 131667668 263335336 526670672 1053341344