Search a number
-
+
3400000051 = 717312234133
BaseRepresentation
bin1100101010100111…
…1110001000110011
322202221200220020211
43022221332020303
523430400000201
61321213444551
7150153344410
oct31251761063
98687626224
103400000051
1114952363a8
127aa7a0757
13422525b66
142437ab107
1514d757651
hexcaa7e233

3400000051 has 32 divisors (see below), whose sum is σ = 4267081728. Its totient is φ = 2641835520.

The previous prime is 3400000013. The next prime is 3400000099. The reversal of 3400000051 is 1500000043.

It is a cyclic number.

It is not a de Polignac number, because 3400000051 - 27 = 3399999923 is a prime.

3400000051 is a modest number, since divided by 51 gives 34 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3399999977 and 3400000040.

It is not an unprimeable number, because it can be changed into a prime (3400000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820581 + ... + 824713.

It is an arithmetic number, because the mean of its divisors is an integer number (133346304).

Almost surely, 23400000051 is an apocalyptic number.

3400000051 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3400000051 is a deficient number, since it is larger than the sum of its proper divisors (867081677).

3400000051 is a wasteful number, since it uses less digits than its factorization.

3400000051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3400000051 is about 58309.5193857744. The cubic root of 3400000051 is about 1503.6946037234.

Adding to 3400000051 its reverse (1500000043), we get a palindrome (4900000094).

The spelling of 3400000051 in words is "three billion, four hundred million, fifty-one", and thus it is an aban number.

Divisors: 1 7 17 31 119 217 223 527 1561 3689 3791 4133 6913 26537 28931 48391 70261 117521 128123 491827 822647 896861 921659 2178091 6451613 15246637 15668203 28571429 109677421 200000003 485714293 3400000051