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3400214202 = 23271123310529
BaseRepresentation
bin1100101010101011…
…0010011010111010
322202222002210000100
43022222302122322
523430423323302
61321222220230
7150155225640
oct31252623272
98688083010
103400214202
111495372290
127aa884676
1342259c488
14243825190
1514d79ad1c
hexcaab26ba

3400214202 has 96 divisors (see below), whose sum is σ = 9225290880. Its totient is φ = 879298560.

The previous prime is 3400214189. The next prime is 3400214203. The reversal of 3400214202 is 2024120043.

It is a super-2 number, since 2×34002142022 = 23122913238964993608, which contains 22 as substring.

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 (3400214203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 317674 + ... + 328202.

It is an arithmetic number, because the mean of its divisors is an integer number (96096780).

Almost surely, 23400214202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400214202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612645440).

3400214202 is an abundant number, since it is smaller than the sum of its proper divisors (5825076678).

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

3400214202 is a wasteful number, since it uses less digits than its factorization.

3400214202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788 (or 10785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3400214202 is about 58311.3556865213. The cubic root of 3400214202 is about 1503.7261734232.

Adding to 3400214202 its reverse (2024120043), we get a palindrome (5424334245).

The spelling of 3400214202 in words is "three billion, four hundred million, two hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 233 462 466 693 699 1386 1398 1631 2097 2563 3262 4194 4893 5126 7689 9786 10529 14679 15378 17941 21058 23067 29358 31587 35882 46134 53823 63174 73703 94761 107646 115819 147406 161469 189522 221109 231638 322938 347457 442218 663327 694914 810733 1042371 1326654 1621466 2084742 2432199 2453257 4864398 4906514 7296597 7359771 14593194 14719542 17172799 22079313 26985827 34345598 44158626 51518397 53971654 80957481 103036794 154555191 161914962 188900789 242872443 309110382 377801578 485744886 566702367 1133404734 1700107101 3400214202