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337420260 = 2232553113313
BaseRepresentation
bin10100000111001…
…001111111100100
3212111220201120200
4110013021333210
51142334422020
653252030500
711235011352
oct2407117744
9774821520
10337420260
11163512921
1295002430
1354ba0378
1432b547d2
151e951590
hex141c9fe4

337420260 has 144 divisors (see below), whose sum is σ = 1055409264. Its totient is φ = 87220224.

The previous prime is 337420243. The next prime is 337420277. The reversal of 337420260 is 62024733.

It is an interprime number because it is at equal distance from previous prime (337420243) and next prime (337420277).

It can be written as a sum of positive squares in 8 ways, for example, as 118853604 + 218566656 = 10902^2 + 14784^2 .

It is a super-2 number, since 2×3374202602 = 227704863716935200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077864 + ... + 1078176.

It is an arithmetic number, because the mean of its divisors is an integer number (7329231).

Almost surely, 2337420260 is an apocalyptic number.

337420260 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 337420260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527704632).

337420260 is an abundant number, since it is smaller than the sum of its proper divisors (717989004).

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

337420260 is a wasteful number, since it uses less digits than its factorization.

337420260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 337420260 is about 18369.0026947573. The cubic root of 337420260 is about 696.1834880869.

Adding to 337420260 its reverse (62024733), we get a palindrome (399444993).

The spelling of 337420260 in words is "three hundred thirty-seven million, four hundred twenty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 113 159 180 212 226 265 313 318 339 452 477 530 565 626 636 678 795 939 954 1017 1060 1130 1252 1356 1565 1590 1695 1878 1908 2034 2260 2385 2817 3130 3180 3390 3756 4068 4695 4770 5085 5634 5989 6260 6780 9390 9540 10170 11268 11978 14085 16589 17967 18780 20340 23956 28170 29945 33178 35369 35934 49767 53901 56340 59890 66356 70738 71868 82945 89835 99534 106107 107802 119780 141476 149301 165890 176845 179670 199068 212214 215604 248835 269505 298602 318321 331780 353690 359340 424428 497670 530535 539010 597204 636642 707380 746505 995340 1061070 1078020 1273284 1493010 1591605 1874557 2122140 2986020 3183210 3749114 5623671 6366420 7498228 9372785 11247342 16871013 18745570 22494684 28118355 33742026 37491140 56236710 67484052 84355065 112473420 168710130 337420260