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343849740 = 2235133831151
BaseRepresentation
bin10100011111101…
…011101100001100
3212222000101011120
4110133223230030
51201011142430
654041520540
711343450243
oct2437535414
9788011146
10343849740
11167104443
12971a3150
13563119b0
143394995a
15202c1610
hex147ebb0c

343849740 has 96 divisors (see below), whose sum is σ = 1040449536. Its totient is φ = 84345600.

The previous prime is 343849733. The next prime is 343849757. The reversal of 343849740 is 47948343.

343849740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 343849692 and 343849701.

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, 298165 + ... + 299315.

It is an arithmetic number, because the mean of its divisors is an integer number (10838016).

Almost surely, 2343849740 is an apocalyptic number.

343849740 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 343849740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520224768).

343849740 is an abundant number, since it is smaller than the sum of its proper divisors (696599796).

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

343849740 is a wasteful number, since it uses less digits than its factorization.

343849740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 343849740 is about 18543.1858104264. The cubic root of 343849740 is about 700.5775777249.

The spelling of 343849740 in words is "three hundred forty-three million, eight hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 383 390 766 780 1149 1151 1532 1915 2298 2302 3453 3830 4596 4604 4979 5745 5755 6906 7660 9958 11490 11510 13812 14937 14963 17265 19916 22980 23020 24895 29874 29926 34530 44889 49790 59748 59852 69060 74685 74815 89778 99580 149370 149630 179556 224445 298740 299260 440833 448890 881666 897780 1322499 1763332 2204165 2644998 4408330 5289996 5730829 6612495 8816660 11461658 13224990 17192487 22923316 26449980 28654145 34384974 57308290 68769948 85962435 114616580 171924870 343849740