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337406740 = 22511972163
BaseRepresentation
bin10100000111000…
…110101100010100
3212111220001000221
4110013012230110
51142334003430
653251444124
711234624056
oct2407065424
9774801027
10337406740
11163503750
1294bb6644
1354b97178
1432b4d8d6
151e94c57a
hex141c6b14

337406740 has 72 divisors (see below), whose sum is σ = 785810592. Its totient is φ = 120683520.

The previous prime is 337406683. The next prime is 337406777. The reversal of 337406740 is 47604733.

337406740 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 2×3374067402 = 227686616394855200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337406696 and 337406705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2069899 + ... + 2070061.

It is an arithmetic number, because the mean of its divisors is an integer number (10914036).

Almost surely, 2337406740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392905296).

337406740 is an abundant number, since it is smaller than the sum of its proper divisors (448403852).

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

337406740 is a wasteful number, since it uses less digits than its factorization.

337406740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 337406740 is about 18368.6346798013. The cubic root of 337406740 is about 696.1741895675.

The spelling of 337406740 in words is "three hundred thirty-seven million, four hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 163 194 220 326 388 485 652 815 970 1067 1630 1793 1940 2134 3260 3586 4268 5335 7172 8965 9409 10670 15811 17930 18818 21340 31622 35860 37636 47045 63244 79055 94090 103499 158110 173921 188180 206998 316220 347842 413996 517495 695684 869605 1034990 1533667 1739210 2069980 3067334 3478420 6134668 7668335 15336670 16870337 30673340 33740674 67481348 84351685 168703370 337406740