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34313102412 = 22329787125287
BaseRepresentation
bin11111111101001110…
…000110010001001100
310021120100011012120220
4133331032012101030
51030233123234122
623432504511340
72323211362311
oct377516062114
9107510135526
1034313102412
1113608940786
12679747b550
13330ab212c4
1419371c2d08
15d5c5ea25c
hex7fd38644c

34313102412 has 48 divisors (see below), whose sum is σ = 82930632960. Its totient is φ = 11029177152.

The previous prime is 34313102389. The next prime is 34313102477. The reversal of 34313102412 is 21420131343.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211233 + ... + 336519.

It is an arithmetic number, because the mean of its divisors is an integer number (1727721520).

Almost surely, 234313102412 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 34313102412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41465316480).

34313102412 is an abundant number, since it is smaller than the sum of its proper divisors (48617530548).

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

34313102412 is a wasteful number, since it uses less digits than its factorization.

34313102412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126110 (or 126108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34313102412 its reverse (21420131343), we get a palindrome (55733233755).

The spelling of 34313102412 in words is "thirty-four billion, three hundred thirteen million, one hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 787 1574 2361 3148 4722 9444 22823 45646 68469 91292 125287 136938 250574 273876 375861 501148 751722 1503444 3633323 7266646 10899969 14533292 21799938 43599876 98600869 197201738 295802607 394403476 591605214 1183210428 2859425201 5718850402 8578275603 11437700804 17156551206 34313102412