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34729003044 = 223617700577
BaseRepresentation
bin100000010110000000…
…101000100000100100
310022122022202011000000
4200112000220200210
51032111111044134
623542043021300
72336421440511
oct402600504044
9108568664000
1034729003044
111380168700a
12689280a830
13337603c158
141976526308
15d83d9ee99
hex816028824

34729003044 has 84 divisors (see below), whose sum is σ = 96482201004. Its totient is φ = 10895357952.

The previous prime is 34729003033. The next prime is 34729003069. The reversal of 34729003044 is 44030092743.

34729003044 is a `hidden beast` number, since 347 + 2 + 9 + 0 + 0 + 304 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31813003044 + 2916000000 = 178362^2 + 54000^2 .

It is a super-2 number, since 2×347290030442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 300717 + ... + 399860.

It is an arithmetic number, because the mean of its divisors is an integer number (1148597631).

Almost surely, 234729003044 is an apocalyptic number.

34729003044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34729003044 is an abundant number, since it is smaller than the sum of its proper divisors (61753197960).

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

34729003044 is a wasteful number, since it uses less digits than its factorization.

34729003044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700616 (or 700599 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 34729003044 its reverse (44030092743), we get a palindrome (78759095787).

The spelling of 34729003044 in words is "thirty-four billion, seven hundred twenty-nine million, three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2754 2916 4131 5508 8262 12393 16524 24786 49572 700577 1401154 2101731 2802308 4203462 6305193 8406924 11909809 12610386 18915579 23819618 25220772 35729427 37831158 47639236 56746737 71458854 75662316 107188281 113493474 142917708 170240211 214376562 226986948 321564843 340480422 428753124 510720633 643129686 680960844 964694529 1021441266 1286259372 1929389058 2042882532 2894083587 3858778116 5788167174 8682250761 11576334348 17364501522 34729003044