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3406204464 = 243132835059
BaseRepresentation
bin1100101100000110…
…1000111000110000
322210101101010002220
43023001220320300
523433442020324
61321554441040
7150260155155
oct31301507060
98711333086
103406204464
111498793913
127b0893180
134238b8c00
1424454422c
1514e080b79
hexcb068e30

3406204464 has 120 divisors (see below), whose sum is σ = 9645007680. Its totient is φ = 1035230976.

The previous prime is 3406204463. The next prime is 3406204489. The reversal of 3406204464 is 4644026043.

It is not an unprimeable number, because it can be changed into a prime (3406204463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670767 + ... + 675825.

It is an arithmetic number, because the mean of its divisors is an integer number (80375064).

Almost surely, 23406204464 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 3406204464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822503840).

3406204464 is an abundant number, since it is smaller than the sum of its proper divisors (6238803216).

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

3406204464 is a wasteful number, since it uses less digits than its factorization.

3406204464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 3406204464 is about 58362.6975387533. The cubic root of 3406204464 is about 1504.6087089214.

The spelling of 3406204464 in words is "three billion, four hundred six million, two hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 169 208 249 312 332 338 498 507 624 664 676 996 1014 1079 1328 1352 1992 2028 2158 2704 3237 3984 4056 4316 5059 6474 8112 8632 10118 12948 14027 15177 17264 20236 25896 28054 30354 40472 42081 51792 56108 60708 65767 80944 84162 112216 121416 131534 168324 197301 224432 242832 263068 336648 394602 419897 526136 673296 789204 839794 854971 1052272 1259691 1578408 1679588 1709942 2519382 2564913 3156816 3359176 3419884 5038764 5129826 5458661 6718352 6839768 10077528 10259652 10917322 13679536 16375983 20155056 20519304 21834644 32751966 41038608 43669288 65503932 70962593 87338576 131007864 141925186 212887779 262015728 283850372 425775558 567700744 851551116 1135401488 1703102232 3406204464