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3243014334 = 23572433167
BaseRepresentation
bin1100000101001100…
…0111100010111110
322101000022012100000
43001103013202332
523120202424314
61253445015130
7143236111200
oct30123074276
98330265300
103243014334
11141466273a
127660b44a6
133c8b4c3c1
1422a9c4770
1513ea98209
hexc14c78be

3243014334 has 144 divisors (see below), whose sum is σ = 8676315648. Its totient is φ = 904741488.

The previous prime is 3243014323. The next prime is 3243014371. The reversal of 3243014334 is 4334103423.

3243014334 is a `hidden beast` number, since 3 + 24 + 301 + 4 + 334 = 666.

3243014334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3243014298 and 3243014307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1022419 + ... + 1025585.

It is an arithmetic number, because the mean of its divisors is an integer number (60252192).

Almost surely, 23243014334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243014334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338157824).

3243014334 is an abundant number, since it is smaller than the sum of its proper divisors (5433301314).

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

3243014334 is a wasteful number, since it uses less digits than its factorization.

3243014334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3243014334 is about 56947.4699525800. The cubic root of 3243014334 is about 1480.1859904436.

Adding to 3243014334 its reverse (4334103423), we get a palindrome (7577117757).

It can be divided in two parts, 32430 and 14334, that added together give a palindrome (46764).

The spelling of 3243014334 in words is "three billion, two hundred forty-three million, fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 81 86 98 126 129 147 162 189 243 258 294 301 378 387 441 486 567 602 774 882 903 1134 1161 1323 1701 1806 2107 2322 2646 2709 3167 3402 3483 3969 4214 5418 6321 6334 6966 7938 8127 9501 10449 11907 12642 16254 18963 19002 20898 22169 23814 24381 28503 37926 44338 48762 56889 57006 66507 73143 85509 113778 133014 136181 146286 155183 170667 171018 199521 256527 272362 310366 341334 399042 408543 465549 512001 513054 598563 769581 817086 931098 953267 1024002 1197126 1225629 1396647 1539162 1795689 1906534 2451258 2793294 2859801 3591378 3676887 4189941 5387067 5719602 6672869 7353774 8379882 8579403 10774134 11030661 12569823 13345738 17158806 20018607 22061322 25139646 25738209 33091983 37709469 40037214 51476418 60055821 66183966 75418938 77214627 120111642 154429254 180167463 231643881 360334926 463287762 540502389 1081004778 1621507167 3243014334