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3029413824 = 26332776329
BaseRepresentation
bin1011010010010001…
…0010111111000000
321211010101011112000
42310210102333000
522201012220244
61220334504000
7135033410163
oct26444227700
97733334460
103029413824
111315030498
12706665000
13393812778
1420a4a1ada
1512ae54169
hexb4912fc0

3029413824 has 112 divisors (see below), whose sum is σ = 8939479200. Its totient is φ = 1006000128.

The previous prime is 3029413741. The next prime is 3029413831. The reversal of 3029413824 is 4283149203.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475492 + ... + 481820.

Almost surely, 23029413824 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 3029413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469739600).

3029413824 is an abundant number, since it is smaller than the sum of its proper divisors (5910065376).

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

3029413824 is a wasteful number, since it uses less digits than its factorization.

3029413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3029413824 is about 55040.1110463996. Note that the first 3 decimals coincide. The cubic root of 3029413824 is about 1446.9478126829.

The spelling of 3029413824 in words is "three billion, twenty-nine million, four hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 277 288 432 554 576 831 864 1108 1662 1728 2216 2493 3324 4432 4986 6329 6648 7479 8864 9972 12658 13296 14958 17728 18987 19944 25316 26592 29916 37974 39888 50632 53184 56961 59832 75948 79776 101264 113922 119664 151896 159552 170883 202528 227844 239328 303792 341766 405056 455688 478656 607584 683532 911376 1215168 1367064 1753133 1822752 2734128 3506266 3645504 5259399 5468256 7012532 10518798 10936512 14025064 15778197 21037596 28050128 31556394 42075192 47334591 56100256 63112788 84150384 94669182 112200512 126225576 168300768 189338364 252451152 336601536 378676728 504902304 757353456 1009804608 1514706912 3029413824