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338155104 = 2537503207
BaseRepresentation
bin10100001001111…
…101011001100000
3212120022001121010
4110021331121200
51143031430404
653315500520
711244161640
oct2411753140
9776261533
10338155104
11163974a31
12952b7740
13550999a1
1432ca6520
151ea49189
hex1427d660

338155104 has 48 divisors (see below), whose sum is σ = 1014467328. Its totient is φ = 96615552.

The previous prime is 338155093. The next prime is 338155121. The reversal of 338155104 is 401551833.

338155104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3381551042 = 228697748722501632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250932 + ... + 252275.

It is an arithmetic number, because the mean of its divisors is an integer number (21134736).

Almost surely, 2338155104 is an apocalyptic number.

It is an amenable number.

338155104 is an abundant number, since it is smaller than the sum of its proper divisors (676312224).

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

338155104 is a wasteful number, since it uses less digits than its factorization.

338155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503227 (or 503219 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 338155104 is about 18388.9940997326. The cubic root of 338155104 is about 696.6885114319.

It can be divided in two parts, 3381 and 55104, that added together give a palindrome (58485).

The spelling of 338155104 in words is "three hundred thirty-eight million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 503207 1006414 1509621 2012828 3019242 3522449 4025656 6038484 7044898 8051312 10567347 12076968 14089796 16102624 21134694 24153936 28179592 42269388 48307872 56359184 84538776 112718368 169077552 338155104