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345104331352 = 2311356932
BaseRepresentation
bin1010000010110011101…
…00100011001001011000
31012222202220200110111221
411001121310203021120
521123233202100402
6422312211301424
733635002262554
oct5013164431130
91188686613457
10345104331352
111233a3442000
1256a728aa874
132670a53bb81
14129bb5ac864
158e9c35a337
hex5059d23258

345104331352 has 48 divisors (see below), whose sum is σ = 711854108280. Its totient is φ = 156838051040.

The previous prime is 345104331331. The next prime is 345104331371. The reversal of 345104331352 is 253133401543.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×3451043313522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60616218 + ... + 60621910.

Almost surely, 2345104331352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345104331352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355927054140).

345104331352 is an abundant number, since it is smaller than the sum of its proper divisors (366749776928).

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

345104331352 is an frugal number, since it uses more digits than its factorization.

345104331352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 345104331352 its reverse (253133401543), we get a palindrome (598237732895).

The spelling of 345104331352 in words is "three hundred forty-five billion, one hundred four million, three hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 5693 10648 11386 22772 45544 62623 125246 250492 500984 688853 1377706 2755412 5510824 7577383 15154766 30309532 32410249 60619064 64820498 129640996 259281992 356512739 713025478 1426050956 2852101912 3921640129 7843280258 15686560516 31373121032 43138041419 86276082838 172552165676 345104331352