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343001140240 = 245111481263183
BaseRepresentation
bin1001111110111000111…
…01100000110000010000
31012210100100011021200211
410333130131200300100
521104431242441430
6421323400453504
733531613405213
oct4773435406020
91183310137624
10343001140240
11122514224430
125658647a294
13264638a46a5
141285c13177a
158dc78b272a
hex4fdc760c10

343001140240 has 80 divisors (see below), whose sum is σ = 870566351616. Its totient is φ = 124642995200.

The previous prime is 343001140199. The next prime is 343001140243. The reversal of 343001140240 is 42041100343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (343001140243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171689 + ... + 1434871.

Almost surely, 2343001140240 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 343001140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435283175808).

343001140240 is an abundant number, since it is smaller than the sum of its proper divisors (527565211376).

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

343001140240 is a wasteful number, since it uses less digits than its factorization.

343001140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264688 (or 264682 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 343001140240 its reverse (42041100343), we get a palindrome (385042240583).

The spelling of 343001140240 in words is "three hundred forty-three billion, one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1481 2962 5924 7405 11848 14810 16291 23696 29620 32582 59240 65164 81455 118480 130328 162910 260656 263183 325820 526366 651640 1052732 1303280 1315915 2105464 2631830 2895013 4210928 5263660 5790026 10527320 11580052 14475065 21054640 23160104 28950130 46320208 57900260 115800520 231601040 389774023 779548046 1559096092 1948870115 3118192184 3897740230 4287514253 6236384368 7795480460 8575028506 15590960920 17150057012 21437571265 31181921840 34300114024 42875142530 68600228048 85750285060 171500570120 343001140240