Search a number
-
+
3229039104 = 29329711021
BaseRepresentation
bin1100000001110111…
…0011101000000000
322100001000011220220
43000131303220000
523103113222404
61252225303040
7143006244114
oct30035635000
98301004826
103229039104
111407787965
12761494a80
133c5c98335
14228bc7744
1513d7374d9
hexc0773a00

3229039104 has 160 divisors (see below), whose sum is σ = 9033171840. Its totient is φ = 1023590400.

The previous prime is 3229039103. The next prime is 3229039117. The reversal of 3229039104 is 4019309223.

It is a super-2 number, since 2×32290391042 = 20853387070322245632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3229039103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162114 + ... + 3163134.

It is an arithmetic number, because the mean of its divisors is an integer number (56457324).

Almost surely, 23229039104 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 3229039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516585920).

3229039104 is an abundant number, since it is smaller than the sum of its proper divisors (5804132736).

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

3229039104 is a wasteful number, since it uses less digits than its factorization.

3229039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3229039104 is about 56824.6346578665. The cubic root of 3229039104 is about 1478.0567239575.

The spelling of 3229039104 in words is "three billion, two hundred twenty-nine million, thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 71 87 96 116 128 142 174 192 213 232 256 284 348 384 426 464 512 568 696 768 852 928 1021 1136 1392 1536 1704 1856 2042 2059 2272 2784 3063 3408 3712 4084 4118 4544 5568 6126 6177 6816 7424 8168 8236 9088 11136 12252 12354 13632 14848 16336 16472 18176 22272 24504 24708 27264 29609 32672 32944 36352 44544 49008 49416 54528 59218 65344 65888 72491 88827 98016 98832 109056 118436 130688 131776 144982 177654 196032 197664 217473 236872 261376 263552 289964 355308 392064 395328 434946 473744 522752 527104 579928 710616 784128 790656 869892 947488 1054208 1159856 1421232 1568256 1581312 1739784 1894976 2102239 2319712 2842464 3162624 3479568 3789952 4204478 4639424 5684928 6306717 6959136 7579904 8408956 9278848 11369856 12613434 13918272 15159808 16817912 18557696 22739712 25226868 27836544 33635824 37115392 45479424 50453736 55673088 67271648 100907472 111346176 134543296 201814944 269086592 403629888 538173184 807259776 1076346368 1614519552 3229039104