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337012074 = 232729149619
BaseRepresentation
bin10100000101100…
…110010101101010
3212111010222122200
4110011212111222
51142233341244
653235201030
711231361330
oct2405462552
9774128580
10337012074
11163264183
1294a46176
1354a89639
1432a89b50
151e8c0669
hex1416656a

337012074 has 96 divisors (see below), whose sum is σ = 870480000. Its totient is φ = 92195712.

The previous prime is 337012069. The next prime is 337012099. The reversal of 337012074 is 470210733.

It is a super-2 number, since 2×3370120742 = 227154276043562952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544137 + ... + 544755.

It is an arithmetic number, because the mean of its divisors is an integer number (9067500).

Almost surely, 2337012074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337012074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240000).

337012074 is an abundant number, since it is smaller than the sum of its proper divisors (533467926).

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

337012074 is a wasteful number, since it uses less digits than its factorization.

337012074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 337012074 is about 18357.8886040852. Note that the first 3 decimals coincide. The cubic root of 337012074 is about 695.9026444286.

It can be divided in two parts, 33 and 7012074, that added together give a palindrome (7012107).

The spelling of 337012074 in words is "three hundred thirty-seven million, twelve thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 149 174 203 261 298 406 447 522 609 619 894 1043 1218 1238 1341 1827 1857 2086 2682 3129 3654 3714 4321 4333 5571 6258 8642 8666 9387 11142 12963 12999 17951 18774 25926 25998 30247 35902 38889 38997 53853 60494 77778 77994 90741 92231 107706 125657 161559 181482 184462 251314 272223 276693 323118 376971 544446 553386 645617 753942 830079 1130913 1291234 1660158 1936851 2261826 2674699 3873702 5349398 5810553 8024097 11621106 16048194 18722893 24072291 37445786 48144582 56168679 112337358 168506037 337012074