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3400885411 = 7112171931401
BaseRepresentation
bin1100101010110101…
…0110010010100011
322210000100212201221
43022231112102203
523431111313121
61321244435511
7150164022550
oct31255262243
98700325657
103400885411
111495790600
127aab48b97
13422775b41
1424395ba27
1514d87eb41
hexcab564a3

3400885411 has 96 divisors (see below), whose sum is σ = 4927426560. Its totient is φ = 2280960000.

The previous prime is 3400885399. The next prime is 3400885417. The reversal of 3400885411 is 1145880043.

3400885411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3400885411 - 27 = 3400885283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3400885417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8480811 + ... + 8481211.

It is an arithmetic number, because the mean of its divisors is an integer number (51327360).

Almost surely, 23400885411 is an apocalyptic number.

3400885411 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3400885411 is a deficient number, since it is larger than the sum of its proper divisors (1526541149).

3400885411 is a wasteful number, since it uses less digits than its factorization.

3400885411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 3400885411 is about 58317.1107909162. The cubic root of 3400885411 is about 1503.8251130855.

The spelling of 3400885411 in words is "three billion, four hundred million, eight hundred eighty-five thousand, four hundred eleven".

Divisors: 1 7 11 17 19 31 77 119 121 133 187 209 217 323 341 401 527 589 847 1309 1463 2057 2261 2299 2387 2807 3553 3689 3751 4123 4411 5797 6479 6817 7619 10013 12431 14399 16093 24871 26257 30877 39083 40579 45353 47719 48521 53333 63767 70091 71269 74987 83809 87017 110143 129523 136741 211327 236189 273581 339647 446369 498883 524909 586663 771001 824857 906661 921899 957187 1211573 1424753 1479289 1504151 1653323 2324597 2598079 4015213 5773999 6453293 8481011 9973271 10529057 15672283 16272179 18186553 25570567 28106491 28578869 44167343 109705981 178993969 200052083 309171401 485840773 3400885411