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34028952240 = 2435199712499
BaseRepresentation
bin11111101100010010…
…001001101010110000
310020211112110212211110
4133230102021222300
51024142402432430
623344354313320
72313161215203
oct375422115260
9106745425743
1034028952240
1113482502528
126718288840
133293cb28ca
14190b57793a
15d426bc7b0
hex7ec489ab0

34028952240 has 80 divisors (see below), whose sum is σ = 106020000000. Its totient is φ = 9028774656.

The previous prime is 34028952233. The next prime is 34028952257. The reversal of 34028952240 is 4225982043.

It is a tau number, because it is divible by the number of its divisors (80).

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, 308490 + ... + 404009.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250000).

Almost surely, 234028952240 is an apocalyptic number.

34028952240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34028952240 is an abundant number, since it is smaller than the sum of its proper divisors (71991047760).

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

34028952240 is a wasteful number, since it uses less digits than its factorization.

34028952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712714 (or 712708 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 34028952240 in words is "thirty-four billion, twenty-eight million, nine hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7960 9552 11940 15920 23880 47760 712499 1424998 2137497 2849996 3562495 4274994 5699992 7124990 8549988 10687485 11399984 14249980 17099976 21374970 28499960 34199952 42749940 56999920 85499880 141787301 170999760 283574602 425361903 567149204 708936505 850723806 1134298408 1417873010 1701447612 2126809515 2268596816 2835746020 3402895224 4253619030 5671492040 6805790448 8507238060 11342984080 17014476120 34028952240