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341310420 = 2232511223773
BaseRepresentation
bin10100010101111…
…111101111010100
3212210020100212200
4110111333233110
51144333413140
653511244500
711313043053
oct2425775724
9783210780
10341310420
1116572a630
1296379730
1355932c39
143348839a
151ee6e030
hex1457fbd4

341310420 has 144 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 82264320.

The previous prime is 341310397. The next prime is 341310421. The reversal of 341310420 is 24013143.

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

It is a junction number, because it is equal to n+sod(n) for n = 341310393 and 341310402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341310421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441154 + ... + 441926.

It is an arithmetic number, because the mean of its divisors is an integer number (7888608).

Almost surely, 2341310420 is an apocalyptic number.

341310420 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 341310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).

341310420 is an abundant number, since it is smaller than the sum of its proper divisors (794649132).

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

341310420 is a wasteful number, since it uses less digits than its factorization.

341310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 341310420 is about 18474.5884933873. The cubic root of 341310420 is about 698.8487334388.

Adding to 341310420 its reverse (24013143), we get a palindrome (365323563).

The spelling of 341310420 in words is "three hundred forty-one million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 223 330 396 446 495 660 669 773 892 990 1115 1338 1546 1980 2007 2230 2319 2453 2676 3092 3345 3865 4014 4460 4638 4906 6690 6957 7359 7730 8028 8503 9276 9812 10035 11595 12265 13380 13914 14718 15460 17006 20070 22077 23190 24530 25509 27828 29436 34012 34785 36795 40140 42515 44154 46380 49060 51018 69570 73590 76527 85030 88308 102036 110385 127545 139140 147180 153054 170060 172379 220770 255090 306108 344758 382635 441540 510180 517137 689516 765270 861895 1034274 1530540 1551411 1723790 1896169 2068548 2585685 3102822 3447580 3792338 5171370 5688507 6205644 7584676 7757055 9480845 10342740 11377014 15514110 17065521 18961690 22754028 28442535 31028220 34131042 37923380 56885070 68262084 85327605 113770140 170655210 341310420