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1013433344 = 21071112853
BaseRepresentation
bin111100011001111…
…100010000000000
32121121221202012022
4330121330100000
54033414331334
6244321221012
734054020110
oct7431742000
92547852168
101013433344
11480069520
12243491768
13131c61701
1498847040
155de8682e
hex3c67c400

1013433344 has 88 divisors (see below), whose sum is σ = 2525965248. Its totient is φ = 394813440.

The previous prime is 1013433287. The next prime is 1013433349. The reversal of 1013433344 is 4433343101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (1013433349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72422 + ... + 85274.

Almost surely, 21013433344 is an apocalyptic number.

1013433344 is a gapful number since it is divisible by the number (14) 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 1013433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262982624).

1013433344 is an abundant number, since it is smaller than the sum of its proper divisors (1512531904).

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

1013433344 is a wasteful number, since it uses less digits than its factorization.

1013433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12891 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 1013433344 is about 31834.4678611093. The cubic root of 1013433344 is about 1004.4578791171.

Adding to 1013433344 its reverse (4433343101), we get a palindrome (5446776445).

The spelling of 1013433344 in words is "one billion, thirteen million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2464 2816 3584 4928 5632 7168 9856 11264 12853 19712 25706 39424 51412 78848 89971 102824 141383 179942 205648 282766 359884 411296 565532 719768 822592 989681 1131064 1439536 1645184 1979362 2262128 2879072 3290368 3958724 4524256 5758144 6580736 7917448 9048512 11516288 13161472 15834896 18097024 23032576 31669792 36194048 46065152 63339584 72388096 92130304 126679168 144776192 253358336 506716672 1013433344