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1013341344 = 25353277719
BaseRepresentation
bin111100011001100…
…101110010100000
32121121210001222220
4330121211302200
54033403410334
6244315231040
734053154641
oct7431456240
92547701886
101013341344
11480006394
12243448480
13131c2b882
14988216c8
155de69449
hex3c665ca0

1013341344 has 96 divisors (see below), whose sum is σ = 2723777280. Its totient is φ = 329751552.

The previous prime is 1013341331. The next prime is 1013341349. The reversal of 1013341344 is 4431433101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1013341349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409017 + ... + 1409735.

It is an arithmetic number, because the mean of its divisors is an integer number (28372680).

Almost surely, 21013341344 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 1013341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361888640).

1013341344 is an abundant number, since it is smaller than the sum of its proper divisors (1710435936).

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

1013341344 is a wasteful number, since it uses less digits than its factorization.

1013341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1013341344 is about 31833.0228536342. The cubic root of 1013341344 is about 1004.4274831297.

Adding to 1013341344 its reverse (4431433101), we get a palindrome (5444774445).

The spelling of 1013341344 in words is "one billion, thirteen million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 277 318 424 554 636 719 831 848 1108 1272 1438 1662 1696 2157 2216 2544 2876 3324 4314 4432 5088 5752 6648 8628 8864 11504 13296 14681 17256 23008 26592 29362 34512 38107 44043 58724 69024 76214 88086 114321 117448 152428 176172 199163 228642 234896 304856 352344 398326 457284 469792 597489 609712 704688 796652 914568 1194978 1219424 1409376 1593304 1829136 2389956 3186608 3658272 4779912 6373216 9559824 10555639 19119648 21111278 31666917 42222556 63333834 84445112 126667668 168890224 253335336 337780448 506670672 1013341344