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34361040450 = 23521167310819
BaseRepresentation
bin100000000000000100…
…111101111001000010
310021200200100201012210
4200000010331321002
51030332411243300
623441340202550
72324333011332
oct400004757102
9107620321183
1034361040450
1113632a032a0
1267ab539456
133317a36cc9
14193d7010c2
15d61919050
hex80013de42

34361040450 has 96 divisors (see below), whose sum is σ = 94350032640. Its totient is φ = 8205595200.

The previous prime is 34361040431. The next prime is 34361040451. The reversal of 34361040450 is 5404016343.

It is a super-2 number, since 2×343610404502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34361040451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44860 + ... + 265959.

It is an arithmetic number, because the mean of its divisors is an integer number (982812840).

Almost surely, 234361040450 is an apocalyptic number.

34361040450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34361040450 is an abundant number, since it is smaller than the sum of its proper divisors (59988992190).

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

34361040450 is a wasteful number, since it uses less digits than its factorization.

34361040450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310912 (or 310907 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34361040450 its reverse (5404016343), we get a palindrome (39765056793).

The spelling of 34361040450 in words is "thirty-four billion, three hundred sixty-one million, forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 67 75 110 134 150 165 201 275 330 335 402 550 670 737 825 1005 1474 1650 1675 2010 2211 3350 3685 4422 5025 7370 10050 11055 18425 22110 36850 55275 110550 310819 621638 932457 1554095 1864914 3108190 3419009 4662285 6838018 7770475 9324570 10257027 15540950 17095045 20514054 20824873 23311425 34190090 41649746 46622850 51285135 62474619 85475225 102570270 104124365 124949238 170950450 208248730 229073603 256425675 312373095 458147206 512851350 520621825 624746190 687220809 1041243650 1145368015 1374441618 1561865475 2290736030 3123730950 3436104045 5726840075 6872208090 11453680150 17180520225 34361040450