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34322373540 = 223357133122531
BaseRepresentation
bin11111111101110001…
…011101101110100100
310021120222121020012000
4133331301131232210
51030243011423130
623433435325300
72323353234660
oct377561355644
9107528536160
1034322373540
11136130a3274
12679a5b0830
13330ca19190
1419385178a0
15d5d32c260
hex7fdc5dba4

34322373540 has 384 divisors, whose sum is σ = 135667875840. Its totient is φ = 7007731200.

The previous prime is 34322373497. The next prime is 34322373541. The reversal of 34322373540 is 4537322343.

34322373540 is a `hidden beast` number, since 3 + 43 + 2 + 2 + 3 + 73 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34322373495 and 34322373504.

It is not an unprimeable number, because it can be changed into a prime (34322373541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1512075 + ... + 1534605.

It is an arithmetic number, because the mean of its divisors is an integer number (353301760).

Almost surely, 234322373540 is an apocalyptic number.

34322373540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34322373540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67833937920).

34322373540 is an abundant number, since it is smaller than the sum of its proper divisors (101345502300).

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

34322373540 is a wasteful number, since it uses less digits than its factorization.

34322373540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 22592 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 36.

Adding to 34322373540 its reverse (4537322343), we get a palindrome (38859695883).

The spelling of 34322373540 in words is "thirty-four billion, three hundred twenty-two million, three hundred seventy-three thousand, five hundred forty".