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34102400134 = 21158711292339
BaseRepresentation
bin11111110000101010…
…010101010010000110
310021000122200102101211
4133300222111102012
51024320203301014
623355540442034
72315042422045
oct376052252206
9107018612354
1034102400134
111350aa08a70
1267389a931a
1332a628a8ba
14191721655c
15d48d79cc4
hex7f0a95486

34102400134 has 32 divisors (see below), whose sum is σ = 55972425600. Its totient is φ = 15454367040.

The previous prime is 34102400131. The next prime is 34102400141. The reversal of 34102400134 is 43100420143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102400131) 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 15 ways as a sum of consecutive naturals, for example, 14578737 + ... + 14581075.

It is an arithmetic number, because the mean of its divisors is an integer number (1749138300).

Almost surely, 234102400134 is an apocalyptic number.

34102400134 is a deficient number, since it is larger than the sum of its proper divisors (21870025466).

34102400134 is a wasteful number, since it uses less digits than its factorization.

34102400134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34102400134 its reverse (43100420143), we get a palindrome (77202820277).

The spelling of 34102400134 in words is "thirty-four billion, one hundred two million, four hundred thousand, one hundred thirty-four".

Divisors: 1 2 11 22 587 1129 1174 2258 2339 4678 6457 12419 12914 24838 25729 51458 662723 1325446 1372993 2640731 2745986 5281462 7289953 14579906 15102923 29048041 30205846 58096082 1550109097 3100218194 17051200067 34102400134