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343295940 = 223513676569
BaseRepresentation
bin10100011101100…
…100011111000100
3212220222020111110
4110131210133010
51200340432230
654022005020
711335652541
oct2435443704
9786866443
10343295940
11166866359
1296b76770
13561798c0
1433843bc8
15202124b0
hex147647c4

343295940 has 96 divisors (see below), whose sum is σ = 1050779520. Its totient is φ = 83229696.

The previous prime is 343295929. The next prime is 343295969. The reversal of 343295940 is 49592343.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48976 + ... + 55544.

It is an arithmetic number, because the mean of its divisors is an integer number (10945620).

Almost surely, 2343295940 is an apocalyptic number.

343295940 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 343295940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525389760).

343295940 is an abundant number, since it is smaller than the sum of its proper divisors (707483580).

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

343295940 is a wasteful number, since it uses less digits than its factorization.

343295940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 343295940 is about 18528.2470838447. The cubic root of 343295940 is about 700.2012618562.

The spelling of 343295940 in words is "three hundred forty-three million, two hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4355 5226 6569 8710 10452 13065 13138 17420 19707 26130 26276 32845 39414 52260 65690 78828 85397 98535 131380 170794 197070 256191 341588 394140 426985 440123 512382 853970 880246 1024764 1280955 1320369 1707940 1760492 2200615 2561910 2640738 4401230 5123820 5281476 5721599 6601845 8802460 11443198 13203690 17164797 22886396 26407380 28607995 34329594 57215990 68659188 85823985 114431980 171647970 343295940