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34052250150 = 2345219074409
BaseRepresentation
bin11111101101101011…
…000001101000100110
310020220011022112120000
4133231223001220212
51024214334001100
623350545522130
72313563231142
oct375553015046
9106804275500
1034052250150
11134946755a6
126724043346
133298a7c159
1419106c0222
15d44770900
hex7edac1a26

34052250150 has 120 divisors (see below), whose sum is σ = 94685892840. Its totient is φ = 9073779840.

The previous prime is 34052250119. The next prime is 34052250151. The reversal of 34052250150 is 5105225043.

It is a happy number.

34052250150 is a `hidden beast` number, since 3 + 40 + 522 + 50 + 1 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052250151) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 7721146 + ... + 7725554.

It is an arithmetic number, because the mean of its divisors is an integer number (789049107).

Almost surely, 234052250150 is an apocalyptic number.

34052250150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34052250150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47342946420).

34052250150 is an abundant number, since it is smaller than the sum of its proper divisors (60633642690).

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

34052250150 is a wasteful number, since it uses less digits than its factorization.

34052250150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 34052250150 its reverse (5105225043), we get a palindrome (39157475193).

The spelling of 34052250150 in words is "thirty-four billion, fifty-two million, two hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 1907 2025 3814 4050 4409 5721 8818 9535 11442 13227 17163 19070 22045 26454 28605 34326 39681 44090 47675 51489 57210 66135 79362 85815 95350 102978 110225 119043 132270 143025 154467 171630 198405 220450 238086 257445 286050 308934 330675 357129 396810 429075 514890 595215 661350 714258 772335 858150 992025 1190430 1287225 1544670 1785645 1984050 2574450 2976075 3571290 3861675 5952150 7723350 8407963 8928225 16815926 17856450 25223889 42039815 50447778 75671667 84079630 126119445 151343334 210199075 227015001 252238890 378358335 420398150 454030002 630597225 681045003 756716670 1135075005 1261194450 1362090006 1891791675 2270150010 3405225015 3783583350 5675375025 6810450030 11350750050 17026125075 34052250150