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3400675993 = 1113193473607
BaseRepresentation
bin1100101010110010…
…0011001010011001
322202222222020110201
43022230203022121
523431033112433
61321240142201
7150162161161
oct31254431231
98688866421
103400675993
111495658230
127aaa67961
13422701720
142439055a1
1514d83ca7d
hexcab23299

3400675993 has 32 divisors (see below), whose sum is σ = 4218762240. Its totient is φ = 2694980160.

The previous prime is 3400675991. The next prime is 3400676003. The reversal of 3400675993 is 3995760043.

It is a cyclic number.

It is not a de Polignac number, because 3400675993 - 21 = 3400675991 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (3400675991) 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, 940996 + ... + 944602.

It is an arithmetic number, because the mean of its divisors is an integer number (131836320).

Almost surely, 23400675993 is an apocalyptic number.

It is an amenable number.

3400675993 is a deficient number, since it is larger than the sum of its proper divisors (818086247).

3400675993 is a wasteful number, since it uses less digits than its factorization.

3400675993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997.

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 3400675993 is about 58315.3152525132. The cubic root of 3400675993 is about 1503.7942451915.

The spelling of 3400675993 in words is "three billion, four hundred million, six hundred seventy-five thousand, nine hundred ninety-three".

Divisors: 1 11 13 19 143 209 247 347 2717 3607 3817 4511 6593 39677 46891 49621 68533 72523 85709 515801 753863 890929 942799 1251629 9800219 13767919 16271177 23780951 178982947 261590461 309152363 3400675993