Search a number
-
+
341033440240 = 245232396311229
BaseRepresentation
bin1001111011001110010…
…11010101001111110000
31012121021012120202202001
410331213023111033300
521041414030041430
6420400230103344
733432061261423
oct4754713251760
91177235522661
10341033440240
111216a4539289
12561174aab54
132620c02916c
1412712a839ba
158d0ec803ca
hex4f672d53f0

341033440240 has 160 divisors (see below), whose sum is σ = 832832409600. Its totient is φ = 129624929280.

The previous prime is 341033440213. The next prime is 341033440247. The reversal of 341033440240 is 42044330143.

It is a junction number, because it is equal to n+sod(n) for n = 341033440199 and 341033440208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341033440247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277487946 + ... + 277489174.

It is an arithmetic number, because the mean of its divisors is an integer number (5205202560).

Almost surely, 2341033440240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341033440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416416204800).

341033440240 is an abundant number, since it is smaller than the sum of its proper divisors (491798969360).

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

341033440240 is a wasteful number, since it uses less digits than its factorization.

341033440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 341033440240 its reverse (42044330143), we get a palindrome (383077770383).

The spelling of 341033440240 in words is "three hundred forty-one billion, thirty-three million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 239 368 460 478 631 920 956 1195 1229 1262 1840 1912 2390 2458 2524 3155 3824 4780 4916 5048 5497 6145 6310 9560 9832 10096 10994 12290 12620 14513 19120 19664 21988 24580 25240 27485 28267 29026 43976 49160 50480 54970 56534 58052 72565 87952 98320 109940 113068 116104 141335 145130 150809 219880 226136 232208 282670 290260 293731 301618 439760 452272 565340 580520 587462 603236 754045 775499 1130680 1161040 1174924 1206472 1468655 1508090 1550998 2261360 2349848 2412944 2937310 3016180 3101996 3468607 3877495 4699696 5874620 6032360 6203992 6755813 6937214 7754990 11749240 12064720 12407984 13511626 13874428 15509980 17343035 17836477 23498480 27023252 27748856 31019960 33779065 34686070 35672954 54046504 55497712 62039920 67558130 69372140 71345908 89182385 108093008 135116260 138744280 142691816 178364770 185344261 270232520 277488560 285383632 356729540 370688522 540465040 713459080 741377044 926721305 1426918160 1482754088 1853442610 2965508176 3706885220 4262918003 7413770440 8525836006 14827540880 17051672012 21314590015 34103344024 42629180030 68206688048 85258360060 170516720120 341033440240