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341561040 = 243523431439
BaseRepresentation
bin10100010110111…
…100111011010000
3212210201002122220
4110112330323100
51144414423130
653520501040
711315135532
oct2426747320
9783632586
10341561040
11165890957
129647a780
13559c0032
1433511852
151eebd410
hex145bced0

341561040 has 160 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 85037568.

The previous prime is 341561029. The next prime is 341561041. The reversal of 341561040 is 40165143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 341561040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341561041) 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, 236641 + ... + 238079.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2341561040 is an apocalyptic number.

341561040 is a gapful number since it is divisible by the number (30) 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 341561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

341561040 is an abundant number, since it is smaller than the sum of its proper divisors (789795120).

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

341561040 is a wasteful number, since it uses less digits than its factorization.

341561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 341561040 is about 18481.3700790823. The cubic root of 341561040 is about 699.0197435689.

The spelling of 341561040 in words is "three hundred forty-one million, five hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 43 46 48 60 69 80 86 92 115 120 129 138 172 184 215 230 240 258 276 344 345 368 430 460 516 552 645 688 690 860 920 989 1032 1104 1290 1380 1439 1720 1840 1978 2064 2580 2760 2878 2967 3440 3956 4317 4945 5160 5520 5756 5934 7195 7912 8634 9890 10320 11512 11868 14390 14835 15824 17268 19780 21585 23024 23736 28780 29670 33097 34536 39560 43170 47472 57560 59340 61877 66194 69072 79120 86340 99291 115120 118680 123754 132388 165485 172680 185631 198582 237360 247508 264776 309385 330970 345360 371262 397164 495016 496455 529552 618770 661940 742524 794328 928155 990032 992910 1237540 1323880 1423171 1485048 1588656 1856310 1985820 2475080 2647760 2846342 2970096 3712620 3971640 4269513 4950160 5692684 7115855 7425240 7943280 8539026 11385368 14231710 14850480 17078052 21347565 22770736 28463420 34156104 42695130 56926840 68312208 85390260 113853680 170780520 341561040