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34000312830 = 23511731411387
BaseRepresentation
bin11111101010100100…
…111001100111111110
310020202112120211221120
4133222210321213332
51024113040002310
623341452411410
72312362614321
oct375244714776
9106675524846
1034000312830
11134683212a0
12670a776b66
13328b096003
1419078407b8
15d3ee11b70
hex7ea9399fe

34000312830 has 64 divisors (see below), whose sum is σ = 90238503168. Its totient is φ = 8129583360.

The previous prime is 34000312823. The next prime is 34000312859. The reversal of 34000312830 is 3821300043.

It is a self number, because there is not a number n which added to its sum of digits gives 34000312830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681604 + ... + 729783.

It is an arithmetic number, because the mean of its divisors is an integer number (1409976612).

Almost surely, 234000312830 is an apocalyptic number.

34000312830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34000312830 is an abundant number, since it is smaller than the sum of its proper divisors (56238190338).

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

34000312830 is a wasteful number, since it uses less digits than its factorization.

34000312830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411481.

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

Adding to 34000312830 its reverse (3821300043), we get a palindrome (37821612873).

The spelling of 34000312830 in words is "thirty-four billion, three hundred twelve thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 8030 12045 24090 1411387 2822774 4234161 7056935 8468322 14113870 15525257 21170805 31050514 42341610 46575771 77626285 93151542 103031251 155252570 206062502 232878855 309093753 465757710 515156255 618187506 1030312510 1133343761 1545468765 2266687522 3090937530 3400031283 5666718805 6800062566 11333437610 17000156415 34000312830