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3400334352 = 2432231099419
BaseRepresentation
bin1100101010101100…
…1111110000010000
322202222022212211100
43022223033300100
523430441144402
61321224544400
7150156236142
oct31253176020
98688285740
103400334352
111495444588
127aa922100
1342261207c
14243856c92
1514d7c171c
hexcaacfc10

3400334352 has 120 divisors (see below), whose sum is σ = 10022126400. Its totient is φ = 1074104064.

The previous prime is 3400334351. The next prime is 3400334359. The reversal of 3400334352 is 2534330043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3400334351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356299 + ... + 365717.

It is an arithmetic number, because the mean of its divisors is an integer number (83517720).

Almost surely, 23400334352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011063200).

3400334352 is an abundant number, since it is smaller than the sum of its proper divisors (6621792048).

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

3400334352 is a wasteful number, since it uses less digits than its factorization.

3400334352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3400334352 is about 58312.3859227180. The cubic root of 3400334352 is about 1503.7438851085.

Adding to 3400334352 its reverse (2534330043), we get a palindrome (5934664395).

The spelling of 3400334352 in words is "three billion, four hundred million, three hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 109 138 144 184 207 218 276 327 368 414 436 552 654 828 872 981 1104 1308 1656 1744 1962 2507 2616 3312 3924 5014 5232 7521 7848 9419 10028 15042 15696 18838 20056 22563 28257 30084 37676 40112 45126 56514 60168 75352 84771 90252 113028 120336 150704 169542 180504 216637 226056 339084 361008 433274 452112 649911 678168 866548 1026671 1299822 1356336 1733096 1949733 2053342 2599644 3080013 3466192 3899466 4106684 5199288 6160026 7798932 8213368 9240039 10398576 12320052 15597864 16426736 18480078 23613433 24640104 31195728 36960156 47226866 49280208 70840299 73920312 94453732 141680598 147840624 188907464 212520897 283361196 377814928 425041794 566722392 850083588 1133444784 1700167176 3400334352