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3426463296 = 26362712
BaseRepresentation
bin1100110000111011…
…1010111001000000
322211210111101000000
43030032322321000
524004133311141
61324001000000
7150624312624
oct31416727100
98753441000
103426463296
1114a9170653
127b7623000
13427b60099
142470d9184
15150c335b6
hexcc3bae40

3426463296 has 147 divisors (see below), whose sum is σ = 10232175243. Its totient is φ = 1137939840.

The previous prime is 3426463267. The next prime is 3426463301. The reversal of 3426463296 is 6923646243.

The square root of 3426463296 is 58536.

It is a perfect power (a square), and thus also a powerful number.

3426463296 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 4 + 632 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12643641 + ... + 12643911.

Almost surely, 23426463296 is an apocalyptic number.

3426463296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3426463296 is the 58536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426463296

3426463296 is an abundant number, since it is smaller than the sum of its proper divisors (6805711947).

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

3426463296 is an frugal number, since it uses more digits than its factorization.

3426463296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 276 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The cubic root of 3426463296 is about 1507.5857647797.

The spelling of 3426463296 in words is "three billion, four hundred twenty-six million, four hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 271 288 324 432 486 542 576 648 729 813 864 972 1084 1296 1458 1626 1728 1944 2168 2439 2592 2916 3252 3888 4336 4878 5184 5832 6504 7317 7776 8672 9756 11664 13008 14634 15552 17344 19512 21951 23328 26016 29268 39024 43902 46656 52032 58536 65853 73441 78048 87804 117072 131706 146882 156096 175608 197559 220323 234144 263412 293764 351216 395118 440646 468288 526824 587528 660969 702432 790236 881292 1053648 1175056 1321938 1404864 1580472 1762584 1982907 2107296 2350112 2643876 3160944 3525168 3965814 4214592 4700224 5287752 5948721 6321888 7050336 7931628 10575504 11897442 12643776 14100672 15863256 17846163 21151008 23794884 31726512 35692326 42302016 47589768 53538489 63453024 71384652 95179536 107076978 126906048 142769304 190359072 214153956 285538608 380718144 428307912 571077216 856615824 1142154432 1713231648 3426463296