Search a number
-
+
3400122132 = 2232118586167
BaseRepresentation
bin1100101010101001…
…1011111100010100
322202221221002201100
43022222123330110
523430412402012
61321220230100
7150154363341
oct31252337424
98687832640
103400122132
11149530a0a0
127aa83b330
134225695b4
142437dd7c8
1514d77d8dc
hexcaa9bf14

3400122132 has 36 divisors (see below), whose sum is σ = 9376095456. Its totient is φ = 1030339920.

The previous prime is 3400122107. The next prime is 3400122137. The reversal of 3400122132 is 2312210043.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400122137) 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 11 ways as a sum of consecutive naturals, for example, 4292688 + ... + 4293479.

It is an arithmetic number, because the mean of its divisors is an integer number (260447096).

Almost surely, 23400122132 is an apocalyptic number.

It is an amenable number.

3400122132 is an abundant number, since it is smaller than the sum of its proper divisors (5975973324).

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

3400122132 is a wasteful number, since it uses less digits than its factorization.

3400122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586188 (or 8586183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3400122132 is about 58310.5662123084. The cubic root of 3400122132 is about 1503.7126008157.

Adding to 3400122132 its reverse (2312210043), we get a palindrome (5712332175).

The spelling of 3400122132 in words is "three billion, four hundred million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8586167 17172334 25758501 34344668 51517002 77275503 94447837 103034004 154551006 188895674 283343511 309102012 377791348 566687022 850030533 1133374044 1700061066 3400122132