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337400316 = 223411412309
BaseRepresentation
bin10100000111000…
…101000111111100
3212111212201020000
4110013011013330
51142333302231
653251354300
711234566251
oct2407050774
9774781200
10337400316
111634a9940
1294bb2990
1354b94276
1432b4b428
151e94a6e6
hex141c51fc

337400316 has 120 divisors (see below), whose sum is σ = 986111280. Its totient is φ = 99705600.

The previous prime is 337400303. The next prime is 337400351. The reversal of 337400316 is 613004733.

It is a happy number.

337400316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3374003162 = 227677946473799712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 337400316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144970 + ... + 147278.

It is an arithmetic number, because the mean of its divisors is an integer number (8217594).

Almost surely, 2337400316 is an apocalyptic number.

337400316 is a gapful number since it is divisible by the number (36) 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 337400316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493055640).

337400316 is an abundant number, since it is smaller than the sum of its proper divisors (648710964).

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

337400316 is a wasteful number, since it uses less digits than its factorization.

337400316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 337400316 is about 18368.4598156732. The cubic root of 337400316 is about 696.1697713082.

The spelling of 337400316 in words is "three hundred thirty-seven million, four hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 81 82 99 108 123 132 162 164 198 246 297 324 369 396 451 492 594 738 891 902 1107 1188 1353 1476 1782 1804 2214 2309 2706 3321 3564 4059 4428 4618 5412 6642 6927 8118 9236 12177 13284 13854 16236 20781 24354 25399 27708 36531 41562 48708 50798 62343 73062 76197 83124 94669 101596 124686 146124 152394 187029 189338 228591 249372 284007 304788 374058 378676 457182 568014 685773 748116 852021 914364 1041359 1136028 1371546 1704042 2057319 2082718 2556063 2743092 3124077 3408084 4114638 4165436 5112126 6248154 7668189 8229276 9372231 10224252 12496308 15336378 18744462 28116693 30672756 37488924 56233386 84350079 112466772 168700158 337400316