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340233023130 = 2357111311329771
BaseRepresentation
bin1001111001101110111…
…01111110111010011010
31012112012102110100212220
410330313131332322122
521033244123220010
6420144554244510
733403201660020
oct4746735767232
91175172410786
10340233023130
11121323743040
1255b33426736
132611225b480
141267864a710
158cb4874970
hex4f3777ee9a

340233023130 has 128 divisors (see below), whose sum is σ = 1096359376896. Its totient is φ = 65259475200.

The previous prime is 340233023089. The next prime is 340233023201. The reversal of 340233023130 is 31320332043.

It is a happy number.

It is a super-2 number, since 2×3402330231302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 340233023130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5634856 + ... + 5694915.

It is an arithmetic number, because the mean of its divisors is an integer number (8565307632).

Almost surely, 2340233023130 is an apocalyptic number.

340233023130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340233023130 is an abundant number, since it is smaller than the sum of its proper divisors (756126353766).

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

340233023130 is a wasteful number, since it uses less digits than its factorization.

340233023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329812.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 340233023130 its reverse (31320332043), we get a palindrome (371553355173).

The spelling of 340233023130 in words is "three hundred forty billion, two hundred thirty-three million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 11329771 22659542 33989313 56648855 67978626 79308397 113297710 124627481 147287023 158616794 169946565 237925191 249254962 294574046 339893130 373882443 396541985 441861069 475850382 623137405 736435115 747764886 793083970 872392367 883722138 1031009161 1189625955 1246274810 1472870230 1620157253 1744784734 1869412215 2062018322 2209305345 2379251910 2617177101 3093027483 3240314506 3738824430 4361961835 4418610690 4860471759 5155045805 5234354202 6186054966 8100786265 8723923670 9720943518 10310091610 11341100771 13085885505 15465137415 16201572530 22682201542 24302358795 26171771010 30930274830 34023302313 48604717590 56705503855 68046604626 113411007710 170116511565 340233023130