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1013414368 = 25433072399
BaseRepresentation
bin111100011001110…
…111100111100000
32121121220210011111
4330121313213200
54033413224433
6244320553104
734053610561
oct7431674740
92547823144
101013414368
1148005623a
12243482794
13131c55b95
1498840168
155de80dcd
hex3c6779e0

1013414368 has 48 divisors (see below), whose sum is σ = 2049062400. Its totient is φ = 493105536.

The previous prime is 1013414351. The next prime is 1013414393. The reversal of 1013414368 is 8634143101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 421233 + ... + 423631.

It is an arithmetic number, because the mean of its divisors is an integer number (42688800).

Almost surely, 21013414368 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 1013414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024531200).

1013414368 is an abundant number, since it is smaller than the sum of its proper divisors (1035648032).

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

1013414368 is a wasteful number, since it uses less digits than its factorization.

1013414368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1013414368 is about 31834.1698179802. The cubic root of 1013414368 is about 1004.4516097649.

Adding to 1013414368 its reverse (8634143101), we get a palindrome (9647557469).

The spelling of 1013414368 in words is "one billion, thirteen million, four hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 86 172 307 344 614 688 1228 1376 2399 2456 4798 4912 9596 9824 13201 19192 26402 38384 52804 76768 103157 105608 206314 211216 412628 422432 736493 825256 1472986 1650512 2945972 3301024 5891944 11783888 23567776 31669199 63338398 126676796 253353592 506707184 1013414368