Search a number
-
+
10334302040 = 2351723719919
BaseRepresentation
bin10011001111111100…
…01110111101011000
3222200012210221022102
421213332032331120
5132131040131130
64425243542532
7514044055316
oct114776167530
928605727272
1010334302040
114423498097
122004b2aa48
13c8903842a
147007050b6
154073e5645
hex267f8ef58

10334302040 has 128 divisors (see below), whose sum is σ = 25754112000. Its totient is φ = 3712186368.

The previous prime is 10334302021. The next prime is 10334302051. The reversal of 10334302040 is 4020343301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11244701 + ... + 11245619.

It is an arithmetic number, because the mean of its divisors is an integer number (201204000).

Almost surely, 210334302040 is an apocalyptic number.

10334302040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877056000).

10334302040 is an abundant number, since it is smaller than the sum of its proper divisors (15419809960).

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

10334302040 is a wasteful number, since it uses less digits than its factorization.

10334302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10334302040 its reverse (4020343301), we get a palindrome (14354645341).

The spelling of 10334302040 in words is "ten billion, three hundred thirty-four million, three hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 719 782 919 920 1438 1564 1838 1955 2876 3128 3595 3676 3910 4595 5752 7190 7352 7820 9190 12223 14380 15623 15640 16537 18380 21137 24446 28760 31246 33074 36760 42274 48892 61115 62492 66148 78115 82685 84548 97784 105685 122230 124984 132296 156230 165370 169096 211370 244460 281129 312460 330740 359329 422740 488920 562258 624920 660761 661480 718658 845480 1124516 1321522 1405645 1437316 1796645 2249032 2643044 2811290 2874632 3303805 3593290 5286088 5622580 6607610 7186580 11232937 11245160 13215220 14373160 15197503 22465874 26430440 30395006 44931748 56164685 60790012 75987515 89863496 112329370 121580024 151975030 224658740 258357551 303950060 449317480 516715102 607900120 1033430204 1291787755 2066860408 2583575510 5167151020 10334302040