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344097222534 = 232137120711281
BaseRepresentation
bin1010000000111011100…
…10101110111110000110
31012220011201122000221100
411000131302232332012
521114202342110114
6422024233400530
733601023063342
oct5003562567606
91186151560840
10344097222534
11122a26a0326a
1256831569146
13265a99b30b0
1412923930622
158e3dc22909
hex501dcaef86

344097222534 has 48 divisors (see below), whose sum is σ = 814201917984. Its totient is φ = 104384851200.

The previous prime is 344097222533. The next prime is 344097222541. The reversal of 344097222534 is 435222790443.

344097222534 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 97 + 2 + 22 + 534 = 666.

344097222534 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3440972225342 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 344097222534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344097222533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10339027 + ... + 10372254.

It is an arithmetic number, because the mean of its divisors is an integer number (16962539958).

Almost surely, 2344097222534 is an apocalyptic number.

344097222534 is an abundant number, since it is smaller than the sum of its proper divisors (470104695450).

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

344097222534 is a wasteful number, since it uses less digits than its factorization.

344097222534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711373 (or 20711370 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 344097222534 in words is "three hundred forty-four billion, ninety-seven million, two hundred twenty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 5538 8307 16614 20711281 41422562 62133843 124267686 186401529 269246653 372803058 538493306 807739959 1470500951 1615479918 2423219877 2941001902 4411502853 4846439754 8823005706 13234508559 19116512363 26469017118 38233024726 57349537089 114699074178 172048611267 344097222534