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3403404312 = 2337117125939
BaseRepresentation
bin1100101011011011…
…1101010000011000
322210012002212000120
43022312331100120
523432232414222
61321414433240
7150224313360
oct31266752030
98705085016
103403404312
111497151040
127ab962820
13423148509
142440159a0
1514dbcb15c
hexcadbd418

3403404312 has 128 divisors (see below), whose sum is σ = 10757836800. Its totient is φ = 871516800.

The previous prime is 3403404311. The next prime is 3403404313. The reversal of 3403404312 is 2134043043.

3403404312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3403404311) and next prime (3403404313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403404311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118239 + ... + 144177.

It is an arithmetic number, because the mean of its divisors is an integer number (84045600).

Almost surely, 23403404312 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 3403404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378918400).

3403404312 is an abundant number, since it is smaller than the sum of its proper divisors (7354432488).

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

3403404312 is a wasteful number, since it uses less digits than its factorization.

3403404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26037 (or 26033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3403404312 is about 58338.7033794890. The cubic root of 3403404312 is about 1504.1962960084.

Adding to 3403404312 its reverse (2134043043), we get a palindrome (5537447355).

The spelling of 3403404312 in words is "three billion, four hundred three million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 71 77 84 88 132 142 154 168 213 231 264 284 308 426 462 497 568 616 781 852 924 994 1491 1562 1704 1848 1988 2343 2982 3124 3976 4686 5467 5964 6248 9372 10934 11928 16401 18744 21868 25939 32802 43736 51878 65604 77817 103756 131208 155634 181573 207512 285329 311268 363146 544719 570658 622536 726292 855987 1089438 1141316 1452584 1711974 1841669 1997303 2178876 2282632 3423948 3683338 3994606 4357752 5525007 5991909 6847896 7366676 7989212 11050014 11983818 12891683 14733352 15978424 20258359 22100028 23967636 25783366 38675049 40516718 44200056 47935272 51566732 60775077 77350098 81033436 103133464 121550154 141808513 154700196 162066872 243100308 283617026 309400392 425425539 486200616 567234052 850851078 1134468104 1701702156 3403404312