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338545380 = 223583157433
BaseRepresentation
bin10100001011011…
…100101011100100
3212121000212221210
4110023130223210
51143131423010
653332111420
711250405525
oct2413345344
9777025853
10338545380
11164111178
1295465570
13551a5514
1432d6884c
151eac4b20
hex142dcae4

338545380 has 96 divisors (see below), whose sum is σ = 967688064. Its totient is φ = 88418304.

The previous prime is 338545369. The next prime is 338545393. The reversal of 338545380 is 83545833.

It is a super-2 number, since 2×3385453802 = 229225948638688800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781644 + ... + 782076.

It is an arithmetic number, because the mean of its divisors is an integer number (10080084).

Almost surely, 2338545380 is an apocalyptic number.

338545380 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 338545380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483844032).

338545380 is an abundant number, since it is smaller than the sum of its proper divisors (629142684).

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

338545380 is a wasteful number, since it uses less digits than its factorization.

338545380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 338545380 is about 18399.6027131023. The cubic root of 338545380 is about 696.9564321445.

The spelling of 338545380 in words is "three hundred thirty-eight million, five hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 157 166 249 314 332 415 433 471 498 628 785 830 866 942 996 1245 1299 1570 1660 1732 1884 2165 2355 2490 2598 3140 4330 4710 4980 5196 6495 8660 9420 12990 13031 25980 26062 35939 39093 52124 65155 67981 71878 78186 107817 130310 135962 143756 156372 179695 195465 203943 215634 260620 271924 339905 359390 390930 407886 431268 539085 679810 718780 781860 815772 1019715 1078170 1359620 2039430 2156340 4078860 5642423 11284846 16927269 22569692 28212115 33854538 56424230 67709076 84636345 112848460 169272690 338545380