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3400364022 = 2311223316569
BaseRepresentation
bin1100101010101101…
…0110111111110110
322202222101101112020
43022223112333312
523430443122042
61321225334010
7150156421506
oct31253267766
98688341466
103400364022
111495464900
127aa937306
13422622723
14243863a06
1514d7ca3ec
hexcaad6ff6

3400364022 has 96 divisors (see below), whose sum is σ = 8053032960. Its totient is φ = 953673600.

The previous prime is 3400363997. The next prime is 3400364041. The reversal of 3400364022 is 2204630043.

It is a happy number.

It is a super-2 number, since 2×34003640222 = 23124950964224032968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400363983 and 3400364001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514354 + ... + 520922.

It is an arithmetic number, because the mean of its divisors is an integer number (83885760).

Almost surely, 23400364022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400364022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026516480).

3400364022 is an abundant number, since it is smaller than the sum of its proper divisors (4652668938).

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

3400364022 is a wasteful number, since it uses less digits than its factorization.

3400364022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3400364022 is about 58312.6403278054. The cubic root of 3400364022 is about 1503.7482587913.

Adding to 3400364022 its reverse (2204630043), we get a palindrome (5604994065).

The spelling of 3400364022 in words is "three billion, four hundred million, three hundred sixty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 121 138 186 242 253 341 363 506 682 713 726 759 1023 1426 1518 2046 2139 2783 3751 4278 5566 6569 7502 7843 8349 11253 13138 15686 16698 19707 22506 23529 39414 47058 72259 86273 144518 151087 172546 203639 216777 258819 302174 407278 433554 453261 517638 610917 794849 906522 1221834 1589698 1661957 2240029 2384547 3323914 4480058 4683697 4769094 4985871 6720087 9367394 9971742 13440174 14051091 18281527 24640319 28102182 36563054 49280638 51520667 54844581 73920957 103041334 109689162 147841914 154562001 309124002 566727337 1133454674 1700182011 3400364022