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340787340 = 2232531157389
BaseRepresentation
bin10100010100000…
…000000010001100
3212202020210100100
4110110000002030
51144220143330
653452131100
711305434045
oct2424000214
9782223310
10340787340
11165402633
1296166a90
13557abb1a
143338d8cc
151edb9060
hex1450008c

340787340 has 144 divisors (see below), whose sum is σ = 1076624640. Its totient is φ = 87160320.

The previous prime is 340787329. The next prime is 340787351. The reversal of 340787340 is 43787043.

It is an interprime number because it is at equal distance from previous prime (340787329) and next prime (340787351).

It is a super-2 number, since 2×3407873402 = 232272022208551200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340787295 and 340787304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875866 + ... + 876254.

It is an arithmetic number, because the mean of its divisors is an integer number (7476560).

Almost surely, 2340787340 is an apocalyptic number.

340787340 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 340787340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538312320).

340787340 is an abundant number, since it is smaller than the sum of its proper divisors (735837300).

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

340787340 is a wasteful number, since it uses less digits than its factorization.

340787340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 340787340 is about 18460.4263222711. The cubic root of 340787340 is about 698.4915408090.

The spelling of 340787340 in words is "three hundred forty million, seven hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 157 180 186 279 310 314 372 389 465 471 558 620 628 778 785 930 942 1116 1167 1395 1413 1556 1570 1860 1884 1945 2334 2355 2790 2826 3140 3501 3890 4668 4710 4867 5580 5652 5835 7002 7065 7780 9420 9734 11670 12059 14004 14130 14601 17505 19468 23340 24118 24335 28260 29202 35010 36177 43803 48236 48670 58404 60295 61073 70020 72354 73005 87606 97340 108531 120590 122146 144708 146010 175212 180885 183219 217062 219015 241180 244292 292020 305365 361770 366438 434124 438030 542655 549657 610730 723540 732876 876060 916095 1085310 1099314 1221460 1832190 1893263 2170620 2198628 2748285 3664380 3786526 5496570 5679789 7573052 9466315 10993140 11359578 17039367 18932630 22719156 28398945 34078734 37865260 56797890 68157468 85196835 113595780 170393670 340787340