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343451420 = 225133833449
BaseRepresentation
bin10100011110001…
…010011100011100
3212221021010202222
4110132022130130
51200410421140
654025204512
711340201044
oct2436123434
9787233688
10343451420
11166962154
1297030738
13562025c0
1433884724
15202435b5
hex1478a71c

343451420 has 48 divisors (see below), whose sum is σ = 778982400. Its totient is φ = 126445056.

The previous prime is 343451389. The next prime is 343451441. The reversal of 343451420 is 24154343.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 343451420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97856 + ... + 101304.

It is an arithmetic number, because the mean of its divisors is an integer number (16228800).

Almost surely, 2343451420 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 343451420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389491200).

343451420 is an abundant number, since it is smaller than the sum of its proper divisors (435530980).

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

343451420 is a wasteful number, since it uses less digits than its factorization.

343451420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 343451420 is about 18532.4423646750. The cubic root of 343451420 is about 700.3069538148.

The spelling of 343451420 in words is "three hundred forty-three million, four hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 383 766 1532 1915 3449 3830 4979 6898 7660 9958 13796 17245 19916 24895 34490 44837 49790 68980 89674 99580 179348 224185 448370 896740 1320967 2641934 5283868 6604835 13209670 17172571 26419340 34345142 68690284 85862855 171725710 343451420