Search a number
-
+
102400434 = 2325688913
BaseRepresentation
bin1100001101010…
…00000110110010
321010200110222200
412012220012302
5202203303214
614054444030
72352250353
oct606500662
9233613880
10102400434
1152890a64
122a363616
13182a4296
14d857d2a
158ecad09
hex61a81b2

102400434 has 12 divisors (see below), whose sum is σ = 221867646. Its totient is φ = 34133472.

The previous prime is 102400433. The next prime is 102400489. The reversal of 102400434 is 434004201.

It can be written as a sum of positive squares in only one way, i.e., 101304225 + 1096209 = 10065^2 + 1047^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5688913 = 102400434 / (1 + 0 + 2 + 4 + 0 + 0 + 4 + 3 + 4).

It is not an unprimeable number, because it can be changed into a prime (102400433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2844439 + ... + 2844474.

Almost surely, 2102400434 is an apocalyptic number.

102400434 is an abundant number, since it is smaller than the sum of its proper divisors (119467212).

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

102400434 is a wasteful number, since it uses less digits than its factorization.

102400434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688921 (or 5688918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102400434 is about 10119.3099567115. The cubic root of 102400434 is about 467.8434990630.

Adding to 102400434 its reverse (434004201), we get a palindrome (536404635).

The spelling of 102400434 in words is "one hundred two million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 5688913 11377826 17066739 34133478 51200217 102400434