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10340033220 = 2232511343159
BaseRepresentation
bin10011010000101000…
…00110001011000100
3222200121121010000100
421220110012023010
5132134022030340
64430010444100
7514143555306
oct115024061304
928617533010
1010340033220
114426752000
122006a33630
13c8a293c6a
14701397976
15407b78830
hex2685062c4

10340033220 has 144 divisors (see below), whose sum is σ = 34499687040. Its totient is φ = 2506616640.

The previous prime is 10340033183. The next prime is 10340033269. The reversal of 10340033220 is 2233004301.

10340033220 is a `hidden beast` number, since 1 + 0 + 340 + 0 + 3 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10340033193 and 10340033202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218001 + ... + 261159.

It is an arithmetic number, because the mean of its divisors is an integer number (239581160).

Almost surely, 210340033220 is an apocalyptic number.

10340033220 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 10340033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249843520).

10340033220 is an abundant number, since it is smaller than the sum of its proper divisors (24159653820).

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

10340033220 is a wasteful number, since it uses less digits than its factorization.

10340033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43207 (or 43180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10340033220 its reverse (2233004301), we get a palindrome (12573037521).

The spelling of 10340033220 in words is "ten billion, three hundred forty million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1331 1452 1815 1980 2178 2420 2662 3630 3993 4356 5324 5445 6655 7260 7986 10890 11979 13310 15972 19965 21780 23958 26620 39930 43159 47916 59895 79860 86318 119790 129477 172636 215795 239580 258954 388431 431590 474749 517908 647385 776862 863180 949498 1294770 1424247 1553724 1898996 1942155 2373745 2589540 2848494 3884310 4272741 4747490 5222239 5696988 7121235 7768620 8545482 9494980 10444478 14242470 15666717 17090964 20888956 21363705 26111195 28484940 31333434 42727410 47000151 52222390 57444629 62666868 78333585 85454820 94000302 104444780 114889258 156667170 172333887 188000604 229778516 235000755 287223145 313334340 344667774 470001510 517001661 574446290 689335548 861669435 940003020 1034003322 1148892580 1723338870 2068006644 2585008305 3446677740 5170016610 10340033220