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338428890 = 23257947599
BaseRepresentation
bin10100001011000…
…000001111011010
3212120210222011100
4110023000033122
51143114211030
653325412230
711246412102
oct2413001732
9776728140
10338428890
111640416a8
129540a076
13551644a7
1432d38202
151eaa0360
hex142c03da

338428890 has 48 divisors (see below), whose sum is σ = 891072000. Its totient is φ = 89103456.

The previous prime is 338428879. The next prime is 338428919. The reversal of 338428890 is 98824833.

It is a super-2 number, since 2×3384288902 = 229068227173264200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16690 + ... + 30909.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2338428890 is an apocalyptic number.

338428890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338428890 is an abundant number, since it is smaller than the sum of its proper divisors (552643110).

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

338428890 is a wasteful number, since it uses less digits than its factorization.

338428890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47691 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 338428890 is about 18396.4368832663. The cubic root of 338428890 is about 696.8764844492.

The spelling of 338428890 in words is "three hundred thirty-eight million, four hundred twenty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 47599 95198 142797 237995 285594 428391 475990 713985 856782 1427970 2141955 3760321 4283910 7520642 11280963 18801605 22561926 33842889 37603210 56404815 67685778 112809630 169214445 338428890