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343505940 = 223519215859
BaseRepresentation
bin10100011110010…
…111110000010100
3212221100220120020
4110132113300110
51200414142230
654030305140
711340516021
oct2436276024
9787326506
10343505940
1116699a108
12970581b0
135622136b
143389a548
1520254810
hex14797c14

343505940 has 72 divisors (see below), whose sum is σ = 1015166880. Its totient is φ = 86774976.

The previous prime is 343505933. The next prime is 343505951. The reversal of 343505940 is 49505343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13731 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (14099540).

Almost surely, 2343505940 is an apocalyptic number.

343505940 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 343505940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507583440).

343505940 is an abundant number, since it is smaller than the sum of its proper divisors (671660940).

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

343505940 is a wasteful number, since it uses less digits than its factorization.

343505940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15909 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 343505940 is about 18533.9132403279. The cubic root of 343505940 is about 700.3440077840.

The spelling of 343505940 in words is "three hundred forty-three million, five hundred five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 15859 21660 31718 47577 63436 79295 95154 158590 190308 237885 301321 317180 475770 602642 903963 951540 1205284 1506605 1807926 3013210 3615852 4519815 5725099 6026420 9039630 11450198 17175297 18079260 22900396 28625495 34350594 57250990 68701188 85876485 114501980 171752970 343505940