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34322087240 = 2357240143669
BaseRepresentation
bin11111111101110000…
…010111110101001000
310021120222001200110022
4133331300113311020
51030242423242430
623433425240012
72323350633200
oct377560276510
9107528050408
1034322087240
1113612a18161
12679a493008
13330c948a7c
141938481400
15d5d2c24e5
hex7fdc17d48

34322087240 has 96 divisors (see below), whose sum is σ = 90058894200. Its totient is φ = 11737958400.

The previous prime is 34322087231. The next prime is 34322087251. The reversal of 34322087240 is 4278022343.

It can be written as a sum of positive squares in 4 ways, for example, as 33476557156 + 845530084 = 182966^2 + 29078^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34322087240.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764126 + ... + 807794.

Almost surely, 234322087240 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 34322087240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45029447100).

34322087240 is an abundant number, since it is smaller than the sum of its proper divisors (55736806960).

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

34322087240 is a wasteful number, since it uses less digits than its factorization.

34322087240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44095 (or 44084 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 34322087240 in words is "thirty-four billion, three hundred twenty-two million, eighty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 401 490 802 980 1604 1960 2005 2807 3208 4010 5614 8020 11228 14035 16040 19649 22456 28070 39298 43669 56140 78596 87338 98245 112280 157192 174676 196490 218345 305683 349352 392980 436690 611366 785960 873380 1222732 1528415 1746760 2139781 2445464 3056830 4279562 6113660 8559124 10698905 12227320 17118248 17511269 21397810 35022538 42795620 70045076 85591240 87556345 122578883 140090152 175112690 245157766 350225380 490315532 612894415 700450760 858052181 980631064 1225788830 1716104362 2451577660 3432208724 4290260905 4903155320 6864417448 8580521810 17161043620 34322087240