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3400412340 = 2235134359503
BaseRepresentation
bin1100101010101110…
…0010110010110100
322202222110211210210
43022223202302310
523431001143330
61321230345420
7150160012413
oct31253426264
98688424723
103400412340
111495498136
127aa95b270
1342263b710
1424387747a
1514d7d98b0
hexcaae2cb4

3400412340 has 48 divisors (see below), whose sum is σ = 10253553408. Its totient is φ = 837024384.

The previous prime is 3400412339. The next prime is 3400412357. The reversal of 3400412340 is 432140043.

3400412340 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 15 ways as a sum of consecutive naturals, for example, 2178972 + ... + 2180531.

It is an arithmetic number, because the mean of its divisors is an integer number (213615696).

Almost surely, 23400412340 is an apocalyptic number.

3400412340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400412340 is an abundant number, since it is smaller than the sum of its proper divisors (6853141068).

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

3400412340 is a wasteful number, since it uses less digits than its factorization.

3400412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359528 (or 4359526 counting only the distinct ones).

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

The square root of 3400412340 is about 58313.0546275875. The cubic root of 3400412340 is about 1503.7553813389.

Adding to 3400412340 its reverse (432140043), we get a palindrome (3832552383).

The spelling of 3400412340 in words is "three billion, four hundred million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 4359503 8719006 13078509 17438012 21797515 26157018 43595030 52314036 56673539 65392545 87190060 113347078 130785090 170020617 226694156 261570180 283367695 340041234 566735390 680082468 850103085 1133470780 1700206170 3400412340