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337703742 = 23417472609
BaseRepresentation
bin10100001000001…
…111001100111110
3212112110010110000
4110020033030332
51142423004432
653302055130
711240302005
oct2410171476
9775403400
10337703742
11163696902
129511a4a6
1354c6c3cc
1432bc9c3c
151e9aa57c
hex1420f33e

337703742 has 80 divisors (see below), whose sum is σ = 818579520. Its totient is φ = 103652352.

The previous prime is 337703741. The next prime is 337703809. The reversal of 337703742 is 247307733.

It is a super-2 number, since 2×3377037422 = 228087634721605128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337703697 and 337703706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337703741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128134 + ... + 130742.

It is an arithmetic number, because the mean of its divisors is an integer number (10232244).

Almost surely, 2337703742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337703742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409289760).

337703742 is an abundant number, since it is smaller than the sum of its proper divisors (480875778).

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

337703742 is a wasteful number, since it uses less digits than its factorization.

337703742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 36.

The square root of 337703742 is about 18376.7173891313. The cubic root of 337703742 is about 696.3783985765.

The spelling of 337703742 in words is "three hundred thirty-seven million, seven hundred three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 282 306 423 459 799 846 918 1269 1377 1598 2397 2538 2609 2754 3807 4794 5218 7191 7614 7827 14382 15654 21573 23481 43146 44353 46962 64719 70443 88706 122623 129438 133059 140886 211329 245246 266118 367869 399177 422658 735738 798354 1103607 1197531 2084591 2207214 2395062 3310821 3592593 4169182 6253773 6621642 7185186 9932463 12507546 18761319 19864926 37522638 56283957 112567914 168851871 337703742