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3400403370 = 235713295813
BaseRepresentation
bin1100101010101110…
…0000100110101010
322202222110101111120
43022223200212222
523431000401440
61321230240110
7150156644310
oct31253404652
98688411446
103400403370
111495491421
127aa956036
13422637600
142438740b0
1514d7d6dd0
hexcaae09aa

3400403370 has 96 divisors (see below), whose sum is σ = 10099562112. Its totient is φ = 717440256.

The previous prime is 3400403353. The next prime is 3400403371. The reversal of 3400403370 is 733040043.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3400403370.

It is not an unprimeable number, because it can be changed into a prime (3400403371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12417 + ... + 83396.

It is an arithmetic number, because the mean of its divisors is an integer number (105203772).

Almost surely, 23400403370 is an apocalyptic number.

3400403370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400403370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049781056).

3400403370 is an abundant number, since it is smaller than the sum of its proper divisors (6699158742).

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

3400403370 is a wasteful number, since it uses less digits than its factorization.

3400403370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95856 (or 95843 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 3400403370 is about 58312.9777150850. The cubic root of 3400403370 is about 1503.7540590780.

The spelling of 3400403370 in words is "three billion, four hundred million, four hundred three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 11830 17745 35490 95813 191626 287439 479065 574878 670691 958130 1245569 1341382 1437195 2012073 2491138 2874390 3353455 3736707 4024146 6227845 6706910 7473414 8718983 10060365 12455690 16192397 17437966 18683535 20120730 26156949 32384794 37367070 43594915 48577191 52313898 80961985 87189830 97154382 113346779 130784745 161923970 226693558 242885955 261569490 340040337 485771910 566733895 680080674 1133467790 1700201685 3400403370