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29999000340 = 22325235770709
BaseRepresentation
bin11011111100000101…
…000110101100010100
32212102200102010002200
4123330011012230110
5442414221002330
621440434404500
72111255203251
oct337405065424
985380363080
1029999000340
11117a4720a71
125992730730
132aa110509a
141648268428
15ba89cca60
hex6fc146b14

29999000340 has 72 divisors (see below), whose sum is σ = 91036862280. Its totient is φ = 7996226304.

The previous prime is 29999000333. The next prime is 29999000357. The reversal of 29999000340 is 4300099992.

It can be written as a sum of positive squares in 4 ways, for example, as 5892711696 + 24106288644 = 76764^2 + 155262^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 388906 + ... + 459614.

It is an arithmetic number, because the mean of its divisors is an integer number (1264400865).

Almost surely, 229999000340 is an apocalyptic number.

29999000340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29999000340 is an abundant number, since it is smaller than the sum of its proper divisors (61037861940).

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

29999000340 is a wasteful number, since it uses less digits than its factorization.

29999000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73081 (or 73076 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 29999000340 in words is "twenty-nine billion, nine hundred ninety-nine million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2357 4714 7071 9428 11785 14142 21213 23570 28284 35355 42426 47140 70709 70710 84852 106065 141418 141420 212127 212130 282836 353545 424254 424260 636381 707090 848508 1060635 1272762 1414180 2121270 2545524 3181905 4242540 6363810 12727620 166661113 333322226 499983339 666644452 833305565 999966678 1499950017 1666611130 1999933356 2499916695 2999900034 3333222260 4999833390 5999800068 7499750085 9999666780 14999500170 29999000340