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3404212224 = 2113779153
BaseRepresentation
bin1100101011101000…
…0010100000000000
322210020121220021020
43022322002200000
523432434242344
61321444025440
7150234216660
oct31272024000
98706556236
103404212224
111497653036
127b0092280
1342336c17a
142441861a0
1514dcda719
hexcae82800

3404212224 has 96 divisors (see below), whose sum is σ = 10372340160. Its totient is φ = 972619776.

The previous prime is 3404212223. The next prime is 3404212237. The reversal of 3404212224 is 4222124043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3404212194 and 3404212203.

It is not an unprimeable number, because it can be changed into a prime (3404212223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432 + ... + 82584.

It is an arithmetic number, because the mean of its divisors is an integer number (108045210).

Almost surely, 23404212224 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 3404212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186170080).

3404212224 is an abundant number, since it is smaller than the sum of its proper divisors (6968127936).

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

3404212224 is an equidigital number, since it uses as much as digits as its factorization.

3404212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79185 (or 79165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3404212224 is about 58345.6272911690. The cubic root of 3404212224 is about 1504.3153103813.

Adding to 3404212224 its reverse (4222124043), we get a palindrome (7626336267).

The spelling of 3404212224 in words is "three billion, four hundred four million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 79153 158306 237459 316612 474918 554071 633224 949836 1108142 1266448 1662213 1899672 2216284 2532896 3324426 3799344 4432568 5065792 6648852 7598688 8865136 10131584 13297704 15197376 17730272 20263168 26595408 30394752 35460544 40526336 53190816 60789504 70921088 81052672 106381632 121579008 141842176 162105344 212763264 243158016 283684352 425526528 486316032 567368704 851053056 1134737408 1702106112 3404212224