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34343020144 = 2419367330757
BaseRepresentation
bin11111111111000000…
…001110011001110000
310021122102110012000001
4133333000032121300
51030313303121034
623435454035344
72324023566106
oct377700163160
9107572405001
1034343020144
1113623815384
1267a54a8b54
1333140979c4
14193b16dc76
15d60059a14
hex7ff00e670

34343020144 has 40 divisors (see below), whose sum is σ = 70063033040. Its totient is φ = 16262788608.

The previous prime is 34343020099. The next prime is 34343020157. The reversal of 34343020144 is 44102034343.

It is a super-2 number, since 2×343430201442 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101214 + ... + 1131970.

It is an arithmetic number, because the mean of its divisors is an integer number (1751575826).

Almost surely, 234343020144 is an apocalyptic number.

It is an amenable number.

34343020144 is an abundant number, since it is smaller than the sum of its proper divisors (35720012896).

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

34343020144 is a wasteful number, since it uses less digits than its factorization.

34343020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34457 (or 34451 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34343020144 its reverse (44102034343), we get a palindrome (78445054487).

The spelling of 34343020144 in words is "thirty-four billion, three hundred forty-three million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 3673 7346 14692 29384 30757 58768 61514 69787 123028 139574 246056 279148 492112 558296 584383 1116592 1168766 2337532 4675064 9350128 112970461 225940922 451881844 903763688 1807527376 2146438759 4292877518 8585755036 17171510072 34343020144