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344251340552 = 237171919032029
BaseRepresentation
bin1010000001001101111…
…10101001011100001000
31012220120110122001010002
411000212332221130020
521120011320344202
6422051420542132
733604604054120
oct5004676513410
91186513561102
10344251340552
11122aa59a8429
12568750b1948
13266028c44a2
141293a1abc80
158e4c517302
hex5026fa9708

344251340552 has 64 divisors (see below), whose sum is σ = 822183696000. Its totient is φ = 131549377536.

The previous prime is 344251340479. The next prime is 344251340557. The reversal of 344251340552 is 255043152443.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (344251340557) 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 15 ways as a sum of consecutive naturals, for example, 9497927 + ... + 9534102.

It is an arithmetic number, because the mean of its divisors is an integer number (12846620250).

Almost surely, 2344251340552 is an apocalyptic number.

It is an amenable number.

344251340552 is an abundant number, since it is smaller than the sum of its proper divisors (477932355448).

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

344251340552 is a wasteful number, since it uses less digits than its factorization.

344251340552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19032078 (or 19032074 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 344251340552 its reverse (255043152443), we get a palindrome (599294492995).

The spelling of 344251340552 in words is "three hundred forty-four billion, two hundred fifty-one million, three hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 4522 9044 18088 19032029 38064058 76128116 133224203 152256232 266448406 323544493 361608551 532896812 647088986 723217102 1065793624 1294177972 1446434204 2264811451 2531259857 2588355944 2892868408 4529622902 5062519714 6147345367 9059245804 10125039428 12294690734 18118491608 20250078856 24589381468 43031417569 49178762936 86062835138 172125670276 344251340552