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341141310240 = 25352330900481
BaseRepresentation
bin1001111011011011001…
…10110100101100100000
31012121112201120010120020
410331231212310230200
521042124133411430
6420415042113440
733434541202263
oct4755546645440
91177481503506
10341141310240
1112174a415645
125614764b880
1326228496b73
1412723122cda
158d1948bb10
hex4f6d9b4b20

341141310240 has 96 divisors (see below), whose sum is σ = 1121316690816. Its totient is φ = 87015751680.

The previous prime is 341141310239. The next prime is 341141310241. The reversal of 341141310240 is 42013141143.

341141310240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341141310239) and next prime (341141310241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3411413102403 (a number of 36 digits) contains 333 as substring.

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 341141310240.

It is not an unprimeable number, because it can be changed into a prime (341141310241) 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, 15439201 + ... + 15461280.

It is an arithmetic number, because the mean of its divisors is an integer number (11680382196).

Almost surely, 2341141310240 is an apocalyptic number.

341141310240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341141310240 is an abundant number, since it is smaller than the sum of its proper divisors (780175380576).

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

341141310240 is a wasteful number, since it uses less digits than its factorization.

341141310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30900522 (or 30900514 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 341141310240 its reverse (42013141143), we get a palindrome (383154451383).

The spelling of 341141310240 in words is "three hundred forty-one billion, one hundred forty-one million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 30900481 61800962 92701443 123601924 154502405 185402886 247203848 309004810 370805772 463507215 494407696 618009620 710711063 741611544 927014430 988815392 1236019240 1421422126 1483223088 1854028860 2132133189 2472038480 2842844252 2966446176 3553555315 3708057720 4264266378 4944076960 5685688504 7107110630 7416115440 8528532756 10660665945 11371377008 14214221260 14832230880 17057065512 21321331890 22742754016 28428442520 34114131024 42642663780 56856885040 68228262048 85285327560 113713770080 170570655120 341141310240