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341220240 = 243251924943
BaseRepresentation
bin10100010101101…
…001101110010000
3212210001210011200
4110111221232100
51144323021430
653505311200
711312216124
oct2425515620
9783053150
10341220240
111656788a9
1296335500
1355900b8a
1433463584
151ee52460
hex14569b90

341220240 has 120 divisors (see below), whose sum is σ = 1206291840. Its totient is φ = 86199552.

The previous prime is 341220239. The next prime is 341220247. The reversal of 341220240 is 42022143.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (341220247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (10052432).

Almost surely, 2341220240 is an apocalyptic number.

341220240 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 341220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603145920).

341220240 is an abundant number, since it is smaller than the sum of its proper divisors (865071600).

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

341220240 is a wasteful number, since it uses less digits than its factorization.

341220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24981 (or 24972 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 341220240 is about 18472.1476823893. The cubic root of 341220240 is about 698.7871787890.

Adding to 341220240 its reverse (42022143), we get a palindrome (383242383).

The spelling of 341220240 in words is "three hundred forty-one million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 24943 49886 74829 99772 124715 149658 199544 224487 249430 299316 374145 399088 448974 473917 498860 598632 748290 897948 947834 997720 1122435 1197264 1421751 1496580 1795896 1895668 1995440 2244870 2369585 2843502 2993160 3591792 3791336 4265253 4489740 4739170 5687004 5986320 7108755 7582672 8530506 8979480 9478340 11374008 14217510 17061012 17958960 18956680 21326265 22748016 28435020 34122024 37913360 42652530 56870040 68244048 85305060 113740080 170610120 341220240