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3400401342 = 2313210693137
BaseRepresentation
bin1100101010101110…
…0000000110111110
322202222110021201110
43022223200012332
523431000320332
61321230222450
7150156635352
oct31253400676
98688407643
103400401342
11149548a948
127aa954a26
13422636700
14243873462
1514d7d64cc
hexcaae01be

3400401342 has 48 divisors (see below), whose sum is σ = 7373421360. Its totient is φ = 1044965376.

The previous prime is 3400401337. The next prime is 3400401391. The reversal of 3400401342 is 2431040043.

3400401342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082398 + ... + 1085534.

It is an arithmetic number, because the mean of its divisors is an integer number (153612945).

Almost surely, 23400401342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686710680).

3400401342 is an abundant number, since it is smaller than the sum of its proper divisors (3973020018).

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

3400401342 is a wasteful number, since it uses less digits than its factorization.

3400401342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3400401342 is about 58312.9603261573. The cubic root of 3400401342 is about 1503.7537601317.

Adding to 3400401342 its reverse (2431040043), we get a palindrome (5831441385).

The spelling of 3400401342 in words is "three billion, four hundred million, four hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1069 2138 3137 3207 6274 6414 9411 13897 18822 27794 40781 41691 81562 83382 122343 180661 244686 361322 530153 541983 1060306 1083966 1590459 3180918 3353453 6706906 10060359 20120718 43594889 87189778 130784667 261569334 566733557 1133467114 1700200671 3400401342