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345033665020 = 2251119122367493
BaseRepresentation
bin1010000010101011001…
…10111110100111111100
31012222120222201020112101
411001111212332213330
521123112104240040
6422301204514444
733633153522352
oct5012546764774
91188528636471
10345033665020
11123367566380
1256a530aba24
13266c89c8c85
14129b20557d2
158e9604c09a
hex50559be9fc

345033665020 has 96 divisors (see below), whose sum is σ = 832735572480. Its totient is φ = 118764322560.

The previous prime is 345033664973. The next prime is 345033665029. The reversal of 345033665020 is 20566330543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345033665029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5078394 + ... + 5145886.

It is an arithmetic number, because the mean of its divisors is an integer number (8674328880).

Almost surely, 2345033665020 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 345033665020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416367786240).

345033665020 is an abundant number, since it is smaller than the sum of its proper divisors (487701907460).

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

345033665020 is a wasteful number, since it uses less digits than its factorization.

345033665020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68755 (or 68753 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 345033665020 its reverse (20566330543), we get a palindrome (365599995563).

The spelling of 345033665020 in words is "three hundred forty-five billion, thirty-three million, six hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1223 2090 2446 4180 4892 6115 12230 13453 23237 24460 26906 46474 53812 67265 67493 92948 116185 134530 134986 232370 255607 269060 269972 337465 464740 511214 674930 742423 1022428 1278035 1282367 1349860 1484846 2556070 2564734 2969692 3712115 5112140 5129468 6411835 7424230 12823670 14106037 14848460 25647340 28212074 56424148 70530185 82543939 141060370 165087878 282120740 330175756 412719695 825439390 907983329 1568334841 1650878780 1815966658 3136669682 3631933316 4539916645 6273339364 7841674205 9079833290 15683348410 17251683251 18159666580 31366696820 34503366502 69006733004 86258416255 172516832510 345033665020