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1014104340 = 223352278273
BaseRepresentation
bin111100011100100…
…000000100010100
32121200012211122000
4330130200010110
54034102314330
6244343435300
734062513264
oct7434400424
92550184560
101014104340
11480487667
12243755b30
13132137c52
149897d7a4
155e06a560
hex3c720114

1014104340 has 96 divisors (see below), whose sum is σ = 3169272960. Its totient is φ = 269203968.

The previous prime is 1014104297. The next prime is 1014104353. The reversal of 1014104340 is 434014101.

It is a super-2 number, since 2×10141043402 = 2056815224813671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118444 + ... + 126716.

It is an arithmetic number, because the mean of its divisors is an integer number (33013260).

Almost surely, 21014104340 is an apocalyptic number.

1014104340 is a gapful number since it is divisible by the number (10) 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 1014104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584636480).

1014104340 is an abundant number, since it is smaller than the sum of its proper divisors (2155168620).

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

1014104340 is a wasteful number, since it uses less digits than its factorization.

1014104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014104340 is about 31845.0049458310. The cubic root of 1014104340 is about 1004.6795146522.

Adding to 1014104340 its reverse (434014101), we get a palindrome (1448118441).

The spelling of 1014104340 in words is "one billion, fourteen million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 227 270 454 540 681 908 1135 1362 2043 2270 2724 3405 4086 4540 6129 6810 8172 8273 10215 12258 13620 16546 20430 24516 24819 30645 33092 40860 41365 49638 61290 74457 82730 99276 122580 124095 148914 165460 223371 248190 297828 372285 446742 496380 744570 893484 1116855 1489140 1877971 2233710 3755942 4467420 5633913 7511884 9389855 11267826 16901739 18779710 22535652 28169565 33803478 37559420 50705217 56339130 67606956 84508695 101410434 112678260 169017390 202820868 253526085 338034780 507052170 1014104340