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345189436548 = 223116791385079
BaseRepresentation
bin1010000010111101110…
…01001100110010000100
31012222222211211020220020
411001132321030302010
521123421443432143
6422324451335140
733640054540635
oct5013671146204
91188884736806
10345189436548
1112343748a880
1256a972b14b0
1326722068b88
14129c8a0388c
158ea4a6b883
hex505ee4cc84

345189436548 has 48 divisors (see below), whose sum is σ = 878795688960. Its totient is φ = 104587184800.

The previous prime is 345189436523. The next prime is 345189436573. The reversal of 345189436548 is 845634981543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345189436523) and next prime (345189436573).

It is a junction number, because it is equal to n+sod(n) for n = 345189436491 and 345189436500.

It is an unprimeable number.

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, 703873 + ... + 1088951.

It is an arithmetic number, because the mean of its divisors is an integer number (18308243520).

Almost surely, 2345189436548 is an apocalyptic number.

It is an amenable number.

345189436548 is an abundant number, since it is smaller than the sum of its proper divisors (533606252412).

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

345189436548 is a wasteful number, since it uses less digits than its factorization.

345189436548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391888 (or 391886 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 345189436548 in words is "three hundred forty-five billion, one hundred eighty-nine million, four hundred thirty-six thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 6791 13582 20373 27164 40746 74701 81492 149402 224103 298804 385079 448206 770158 896412 1155237 1540316 2310474 4235869 4620948 8471738 12707607 16943476 25415214 50830428 2615071489 5230142978 7845214467 10460285956 15690428934 28765786379 31380857868 57531572758 86297359137 115063145516 172594718274 345189436548