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3412375096 = 2313314392411
BaseRepresentation
bin1100101101100100…
…1011011000111000
322210210222121121211
43023121023120320
523442032000341
61322335012504
7150363465304
oct31331133070
98723877554
103412375096
1114a1218a09
127b296a134
13424c69780
142452acd04
1514e89e181
hexcb64b638

3412375096 has 64 divisors (see below), whose sum is σ = 7131801600. Its totient is φ = 1520035200.

The previous prime is 3412375093. The next prime is 3412375121. The reversal of 3412375096 is 6905732143.

It is a happy number.

3412375096 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 not an unprimeable number, because it can be changed into a prime (3412375093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414131 + ... + 1416541.

It is an arithmetic number, because the mean of its divisors is an integer number (111434400).

Almost surely, 23412375096 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 3412375096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565900800).

3412375096 is an abundant number, since it is smaller than the sum of its proper divisors (3719426504).

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

3412375096 is a wasteful number, since it uses less digits than its factorization.

3412375096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 3412375096 is about 58415.5381384097. The cubic root of 3412375096 is about 1505.5167367955.

The spelling of 3412375096 in words is "three billion, four hundred twelve million, three hundred seventy-five thousand, ninety-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 439 806 878 1612 1756 2411 3224 3512 4822 5707 9644 11414 13609 19288 22828 27218 31343 45656 54436 62686 74741 108872 125372 149482 176917 250744 298964 353834 597928 707668 971633 1058429 1415336 1943266 2116858 3886532 4233716 7773064 8467432 13759577 27519154 32811299 55038308 65622598 110076616 131245196 262490392 426546887 853093774 1706187548 3412375096