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3426493364 = 2272193167443
BaseRepresentation
bin1100110000111100…
…0010001110110100
322211210112220020122
43030033002032310
524004140241424
61324001351112
7150624466400
oct31417021664
98753486218
103426493364
1114a91911a8
127b7638498
13427b70988
14247106100
15150c3c45e
hexcc3c23b4

3426493364 has 144 divisors (see below), whose sum is σ = 7709829120. Its totient is φ = 1323241920.

The previous prime is 3426493349. The next prime is 3426493391. The reversal of 3426493364 is 4633946243.

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, 7734527 + ... + 7734969.

It is an arithmetic number, because the mean of its divisors is an integer number (53540480).

Almost surely, 23426493364 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 3426493364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854914560).

3426493364 is an abundant number, since it is smaller than the sum of its proper divisors (4283335756).

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

3426493364 is a wasteful number, since it uses less digits than its factorization.

3426493364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 44.

The square root of 3426493364 is about 58536.2568328382. The cubic root of 3426493364 is about 1507.5901745703.

The spelling of 3426493364 in words is "three billion, four hundred twenty-six million, four hundred ninety-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 67 76 98 124 133 134 196 217 266 268 434 443 469 532 589 868 886 931 938 1178 1273 1519 1772 1862 1876 2077 2356 2546 3038 3101 3283 3724 4123 4154 5092 6076 6202 6566 8246 8308 8417 8911 12404 13132 13733 14539 16492 16834 17822 21707 27466 28861 29078 29681 33668 35644 39463 43414 54932 57722 58156 58919 59362 62377 78926 86828 96131 101773 115444 117838 118724 124754 157852 192262 203546 207767 235676 249508 260927 276241 384524 407092 412433 415534 521854 552482 563939 672917 824866 831068 920111 1043708 1104964 1127878 1345834 1454369 1649732 1826489 1840222 1933687 2255756 2691668 2908738 3652978 3680444 3867374 3947573 5817476 6440777 7305956 7734748 7895146 12785423 12881554 15790292 17482109 25570846 25763108 27633011 34964218 45085439 51141692 55266022 69928436 90170878 110532044 122374763 180341756 244749526 489499052 856623341 1713246682 3426493364