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343356420 = 2235112322619
BaseRepresentation
bin10100011101110…
…011010000000100
3212221002022110110
4110131303100010
51200344401140
654023153020
711336324061
oct2435632004
9787068413
10343356420
111668a7840
1296ba5770
135619b2a4
143385bc68
1520225380
hex14773404

343356420 has 96 divisors (see below), whose sum is σ = 1094446080. Its totient is φ = 79615360.

The previous prime is 343356413. The next prime is 343356421. The reversal of 343356420 is 24653343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (343356421) 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, 3871 + ... + 26489.

It is an arithmetic number, because the mean of its divisors is an integer number (11400480).

Almost surely, 2343356420 is an apocalyptic number.

343356420 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 343356420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547223040).

343356420 is an abundant number, since it is smaller than the sum of its proper divisors (751089660).

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

343356420 is a wasteful number, since it uses less digits than its factorization.

343356420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22665 (or 22663 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 343356420 is about 18529.8791145544. The cubic root of 343356420 is about 700.2423786505.

It can be divided in two parts, 34335 and 6420, that added together give a triangular number (40755 = T285).

The spelling of 343356420 in words is "three hundred forty-three million, three hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 22619 45238 67857 90476 113095 135714 226190 248809 271428 339285 452380 497618 520237 678570 746427 995236 1040474 1244045 1357140 1492854 1560711 2080948 2488090 2601185 2985708 3121422 3732135 4976180 5202370 5722607 6242844 7464270 7803555 10404740 11445214 14928540 15607110 17167821 22890428 28613035 31214220 34335642 57226070 68671284 85839105 114452140 171678210 343356420