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338358375 = 3253673
BaseRepresentation
bin10100001010101…
…111000001100111
3212120200101102200
4110022233001213
51143104432000
653324105543
711245666365
oct2412570147
9776611380
10338358375
11163aa3723
12953952b3
135513b374
1432d1a635
151ea89500
hex142af067

338358375 has 48 divisors (see below), whose sum is σ = 619188960. Its totient is φ = 177764400.

The previous prime is 338358373. The next prime is 338358389. The reversal of 338358375 is 573853833.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 338358375 - 21 = 338358373 is a prime.

It is a super-2 number, since 2×3383583752 = 228972779865281250, which contains 22 as substring.

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

Its product of digits (907200) is a multiple of the sum of its prime divisors (75).

It is a self number, because there is not a number n which added to its sum of digits gives 338358375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338358373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5050092 + ... + 5050158.

It is an arithmetic number, because the mean of its divisors is an integer number (12899770).

Almost surely, 2338358375 is an apocalyptic number.

338358375 is a deficient number, since it is larger than the sum of its proper divisors (280830585).

338358375 is an frugal number, since it uses more digits than its factorization.

338358375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 75 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 338358375 is about 18394.5202438117. The cubic root of 338358375 is about 696.8280807224.

The spelling of 338358375 in words is "three hundred thirty-eight million, three hundred fifty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 67 75 125 201 225 335 375 603 1005 1125 1675 3015 4489 5025 8375 13467 15075 22445 25125 40401 67335 75375 112225 202005 300763 336675 561125 902289 1010025 1503815 1683375 2706867 4511445 5050125 7519075 13534335 22557225 37595375 67671675 112786125 338358375