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3386450256 = 243719571929
BaseRepresentation
bin1100100111011001…
…0010000101010000
322202000012111102120
43021312102011100
523413412402011
61320011214240
7146630231550
oct31166220520
98660174376
103386450256
111488621222
127a6147380
1341c790627
14241a81160
1514c47ca06
hexc9d92150

3386450256 has 160 divisors (see below), whose sum is σ = 10554086400. Its totient is φ = 914042880.

The previous prime is 3386450203. The next prime is 3386450299. The reversal of 3386450256 is 6520546833.

It is a super-2 number, since 2×33864502562 = 22936090672724931072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644800 + ... + 3645728.

It is an arithmetic number, because the mean of its divisors is an integer number (65963040).

Almost surely, 23386450256 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 3386450256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277043200).

3386450256 is an abundant number, since it is smaller than the sum of its proper divisors (7167636144).

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

3386450256 is a wasteful number, since it uses less digits than its factorization.

3386450256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3386450256 is about 58193.2148622157. The cubic root of 3386450256 is about 1501.6944194633.

The spelling of 3386450256 in words is "three billion, three hundred eighty-six million, four hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 571 798 912 929 1064 1142 1596 1713 1858 2128 2284 2787 3192 3426 3716 3997 4568 5574 6384 6503 6852 7432 7994 9136 10849 11148 11991 13006 13704 14864 15988 17651 19509 21698 22296 23982 26012 27408 31976 32547 35302 39018 43396 44592 47964 52024 52953 63952 65094 70604 75943 78036 86792 95928 104048 105906 123557 130188 141208 151886 156072 173584 191856 211812 227829 247114 260376 282416 303772 312144 370671 423624 455658 494228 520752 530459 607544 741342 847248 911316 988456 1060918 1215088 1482684 1591377 1822632 1976912 2121836 2965368 3182754 3645264 3713213 4243672 5930736 6365508 7426426 8487344 10078721 11139639 12731016 14852852 20157442 22279278 25462032 29705704 30236163 40314884 44558556 59411408 60472326 70551047 80629768 89117112 120944652 141102094 161259536 178234224 211653141 241889304 282204188 423306282 483778608 564408376 846612564 1128816752 1693225128 3386450256