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1034314002 = 2332343107181
BaseRepresentation
bin111101101001100…
…110000100010010
32200002020121002000
4331221212010102
54104241022002
6250344534430
734426344501
oct7551460422
92602217060
101034314002
11490930467
1224a481416
13136392927
149b520838
1560c0d61c
hex3da66112

1034314002 has 128 divisors (see below), whose sum is σ = 2490808320. Its totient is φ = 317338560.

The previous prime is 1034313989. The next prime is 1034314003. The reversal of 1034314002 is 2004134301.

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

It is not an unprimeable number, because it can be changed into a prime (1034314003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5714352 + ... + 5714532.

It is an arithmetic number, because the mean of its divisors is an integer number (19459440).

Almost surely, 21034314002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

1034314002 is an abundant number, since it is smaller than the sum of its proper divisors (1456494318).

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

1034314002 is a wasteful number, since it uses less digits than its factorization.

1034314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034314002 is about 32160.7525098528. The cubic root of 1034314002 is about 1011.3096111679.

Adding to 1034314002 its reverse (2004134301), we get a palindrome (3038448303).

The spelling of 1034314002 in words is "one billion, thirty-four million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 86 107 129 138 181 207 214 258 321 362 387 414 543 621 642 774 963 989 1086 1161 1242 1629 1926 1978 2322 2461 2889 2967 3258 4163 4601 4887 4922 5778 5934 7383 7783 8326 8901 9202 9774 12489 13803 14766 15566 17802 19367 22149 23349 24978 26703 27606 37467 38734 41409 44298 46698 53406 58101 66447 70047 74934 82818 105823 112401 116202 124227 132894 140094 174303 179009 210141 211646 224802 248454 317469 348606 358018 420282 445441 522909 537027 634938 832781 890882 952407 1045818 1074054 1336323 1611081 1665562 1904814 2498343 2672646 2857221 3222162 4008969 4833243 4996686 5714442 7495029 8017938 9666486 12026907 14990058 19153963 22485087 24053814 38307926 44970174 57461889 114923778 172385667 344771334 517157001 1034314002