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34736710148 = 2272374789949
BaseRepresentation
bin100000010110011110…
…000010001000000100
310022122212020201011022
4200112132002020010
51032120044211043
623542520130312
72336544110300
oct402636021004
9108585221138
1034736710148
1113805a70518
126895306998
13337780a17a
141977570d00
15d848c3868
hex816782204

34736710148 has 36 divisors (see below), whose sum is σ = 72625221900. Its totient is φ = 14484802752.

The previous prime is 34736710051. The next prime is 34736710163. The reversal of 34736710148 is 84101763743.

It can be written as a sum of positive squares in 2 ways, for example, as 30860651584 + 3876058564 = 175672^2 + 62258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34736710099 and 34736710108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2387723 + ... + 2402226.

It is an arithmetic number, because the mean of its divisors is an integer number (2017367275).

Almost surely, 234736710148 is an apocalyptic number.

It is an amenable number.

34736710148 is an abundant number, since it is smaller than the sum of its proper divisors (37888511752).

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

34736710148 is a wasteful number, since it uses less digits than its factorization.

34736710148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790004 (or 4789995 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 34736710148 in words is "thirty-four billion, seven hundred thirty-six million, seven hundred ten thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 3626 7252 4789949 9579898 19159796 33529643 67059286 134118572 177228113 234707501 354456226 469415002 708912452 938830004 1240596791 2481193582 4962387164 8684177537 17368355074 34736710148