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3201434334 = 233767831523
BaseRepresentation
bin1011111011010010…
…0000001011011110
322021010001201022000
42332310200023132
523024031344314
61245401503130
7142222512540
oct27664401336
98233051260
103201434334
1113a3142aaa
127541a1aa6
133c0351657
1422527d690
1513b0d3209
hexbed202de

3201434334 has 128 divisors (see below), whose sum is σ = 8356884480. Its totient is φ = 889602912.

The previous prime is 3201434333. The next prime is 3201434347. The reversal of 3201434334 is 4334341023.

3201434334 is a `hidden beast` number, since 320 + 1 + 4 + 3 + 4 + 334 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3201434298 and 3201434307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201434333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2101297 + ... + 2102819.

It is an arithmetic number, because the mean of its divisors is an integer number (65288160).

Almost surely, 23201434334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201434334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178442240).

3201434334 is an abundant number, since it is smaller than the sum of its proper divisors (5155450146).

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

3201434334 is a wasteful number, since it uses less digits than its factorization.

3201434334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1685 counting only the distinct ones).

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

The square root of 3201434334 is about 56581.2189158205. The cubic root of 3201434334 is about 1473.8327387200.

Adding to 3201434334 its reverse (4334341023), we get a palindrome (7535775357).

The spelling of 3201434334 in words is "three billion, two hundred one million, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 83 126 134 166 189 201 249 378 402 469 498 581 603 747 938 1162 1206 1407 1494 1523 1743 1809 2241 2814 3046 3486 3618 4221 4482 4569 5229 5561 8442 9138 10458 10661 11122 12663 13707 15687 16683 21322 25326 27414 31374 31983 33366 38927 41121 50049 63966 77854 82242 95949 100098 102041 116781 126409 150147 191898 204082 233562 252818 287847 300294 306123 350343 379227 575694 612246 700686 714287 758454 884863 918369 1051029 1137681 1428574 1769726 1836738 2102058 2142861 2275362 2654589 2755107 3413043 4285722 5309178 5510214 6428583 6826086 7963767 8469403 12857166 15927534 16938806 19285749 23891301 25408209 38571498 47782602 50816418 59285821 76224627 118571642 152449254 177857463 228673881 355714926 457347762 533572389 1067144778 1600717167 3201434334