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3404441304 = 2332115238219
BaseRepresentation
bin1100101011101011…
…1010011011011000
322210021001112111200
43022322322123120
523433014110204
61321452554200
7150236162565
oct31272723330
98707045450
103404441304
11149779a160
127b0182960
1342341c514
1424420586c
1514dd33539
hexcaeba6d8

3404441304 has 96 divisors (see below), whose sum is σ = 10079035200. Its totient is φ = 1029551040.

The previous prime is 3404441291. The next prime is 3404441311. The reversal of 3404441304 is 4031444043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410107 + ... + 418325.

It is an arithmetic number, because the mean of its divisors is an integer number (104989950).

Almost surely, 23404441304 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 3404441304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039517600).

3404441304 is an abundant number, since it is smaller than the sum of its proper divisors (6674593896).

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

3404441304 is a wasteful number, since it uses less digits than its factorization.

3404441304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3404441304 is about 58347.5903872645. The cubic root of 3404441304 is about 1504.3490529723.

Adding to 3404441304 its reverse (4031444043), we get a palindrome (7435885347).

It can be divided in two parts, 3404441 and 304, that added together give a triangular number (3404745 = T2609).

The spelling of 3404441304 in words is "three billion, four hundred four million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 523 792 1046 1569 2092 3138 4184 4707 5753 6276 8219 9414 11506 12552 16438 17259 18828 23012 24657 32876 34518 37656 46024 49314 51777 65752 69036 73971 90409 98628 103554 138072 147942 180818 197256 207108 271227 295884 361636 414216 542454 591768 723272 813681 1084908 1627362 2169816 3254724 4298537 6509448 8597074 12895611 17194148 25791222 34388296 38686833 47283907 51582444 77373666 94567814 103164888 141851721 154747332 189135628 283703442 309494664 378271256 425555163 567406884 851110326 1134813768 1702220652 3404441304