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340001220 = 2235132915031
BaseRepresentation
bin10100010001000…
…000000111000100
3212200202211222210
4110101000013010
51144020014340
653423223420
711265651126
oct2421000704
9780684883
10340001220
11164a15a49
1295a47b70
1355595070
1433227216
151ecb1180
hex144401c4

340001220 has 96 divisors (see below), whose sum is σ = 1060657920. Its totient is φ = 80801280.

The previous prime is 340001213. The next prime is 340001231. The reversal of 340001220 is 22100043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 340001196 and 340001205.

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, 15105 + ... + 30135.

It is an arithmetic number, because the mean of its divisors is an integer number (11048520).

Almost surely, 2340001220 is an apocalyptic number.

340001220 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 340001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530328960).

340001220 is an abundant number, since it is smaller than the sum of its proper divisors (720656700).

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

340001220 is a wasteful number, since it uses less digits than its factorization.

340001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 340001220 is about 18439.1219964509. The cubic root of 340001220 is about 697.9540394967.

Adding to 340001220 its reverse (22100043), we get a palindrome (362101263).

The spelling of 340001220 in words is "three hundred forty million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4524 5655 7540 11310 15031 22620 30062 45093 60124 75155 90186 150310 180372 195403 225465 300620 390806 435899 450930 586209 781612 871798 901860 977015 1172418 1307697 1743596 1954030 2179495 2344836 2615394 2931045 3908060 4358990 5230788 5666687 5862090 6538485 8717980 11333374 11724180 13076970 17000061 22666748 26153940 28333435 34000122 56666870 68000244 85000305 113333740 170000610 340001220