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10341134340 = 22351783122149
BaseRepresentation
bin10011010000110000…
…10011000000000100
3222200200200001110120
421220120103000010
5132134312244330
64430050221540
7514156122465
oct115030230004
928620601416
1010341134340
114427334319
1220072848b0
13c8a58b204
147015a2d6c
15407ce4c10
hex268613004

10341134340 has 96 divisors (see below), whose sum is σ = 31028054400. Its totient is φ = 2564130816.

The previous prime is 10341134327. The next prime is 10341134381. The reversal of 10341134340 is 4343114301.

It is a self number, because there is not a number n which added to its sum of digits gives 10341134340.

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, 23586 + ... + 145734.

It is an arithmetic number, because the mean of its divisors is an integer number (323208900).

Almost surely, 210341134340 is an apocalyptic number.

10341134340 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 10341134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514027200).

10341134340 is an abundant number, since it is smaller than the sum of its proper divisors (20686920060).

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

10341134340 is a wasteful number, since it uses less digits than its factorization.

10341134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122261 (or 122259 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10341134340 its reverse (4343114301), we get a palindrome (14684248641).

The spelling of 10341134340 in words is "ten billion, three hundred forty-one million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 498 510 830 996 1020 1245 1411 1660 2490 2822 4233 4980 5644 7055 8466 14110 16932 21165 28220 42330 84660 122149 244298 366447 488596 610745 732894 1221490 1465788 1832235 2076533 2442980 3664470 4153066 6229599 7328940 8306132 10138367 10382665 12459198 20276734 20765330 24918396 30415101 31147995 40553468 41530660 50691835 60830202 62295990 101383670 121660404 124591980 152075505 172352239 202767340 304151010 344704478 517056717 608302020 689408956 861761195 1034113434 1723522390 2068226868 2585283585 3447044780 5170567170 10341134340