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3482713878 = 237292432293
BaseRepresentation
bin1100111110010101…
…1111111100010110
322222201100012021220
43033211133330112
524113033321003
61333330351210
7152206402530
oct31745377426
98881305256
103482713878
1115279a0536
1281242b506
134366c6557
1425077c850
15155b45353
hexcf95ff16

3482713878 has 96 divisors (see below), whose sum is σ = 8439864576. Its totient is φ = 937996416.

The previous prime is 3482713831. The next prime is 3482713919. The reversal of 3482713878 is 8783172843.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3482713878.

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, 1517700 + ... + 1519992.

It is an arithmetic number, because the mean of its divisors is an integer number (87915256).

Almost surely, 23482713878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482713878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219932288).

3482713878 is an abundant number, since it is smaller than the sum of its proper divisors (4957150698).

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

3482713878 is a wasteful number, since it uses less digits than its factorization.

3482713878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2377 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 3482713878 is about 59014.5226024917. The cubic root of 3482713878 is about 1515.7907954204.

The spelling of 3482713878 in words is "three billion, four hundred eighty-two million, seven hundred thirteen thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 29 42 43 58 86 87 129 174 203 258 301 406 602 609 841 903 1218 1247 1682 1806 2293 2494 2523 3741 4586 5046 5887 6879 7482 8729 11774 13758 16051 17458 17661 26187 32102 35322 36163 48153 52374 66497 72326 96306 98599 108489 132994 197198 199491 216978 253141 295797 398982 465479 506282 591594 690193 759423 930958 1380386 1396437 1518846 1928413 2070579 2792874 2859371 3856826 4141158 5718742 5785239 8578113 11570478 13498891 17156226 20015597 26997782 40031194 40496673 60046791 80993346 82921759 120093582 165843518 248765277 497530554 580452313 1160904626 1741356939 3482713878