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338144364 = 2232101113823
BaseRepresentation
bin10100001001111…
…010110001101100
3212120021111212100
4110021322301230
51143031104424
653315335100
711244115425
oct2411726154
9776244770
10338144364
11163967958
12952b1490
1355094b2c
1432ca264c
151ea45dc9
hex1427ac6c

338144364 has 72 divisors (see below), whose sum is σ = 871913952. Its totient is φ = 110476800.

The previous prime is 338144357. The next prime is 338144383. The reversal of 338144364 is 463441833.

It is a happy number.

It is a super-2 number, since 2×3381443642 = 228683221809928992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 410457 + ... + 411279.

It is an arithmetic number, because the mean of its divisors is an integer number (12109916).

Almost surely, 2338144364 is an apocalyptic number.

It is an amenable number.

338144364 is an abundant number, since it is smaller than the sum of its proper divisors (533769588).

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

338144364 is a wasteful number, since it uses less digits than its factorization.

338144364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1042 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 338144364 is about 18388.7020749155. The cubic root of 338144364 is about 696.6811356116.

The spelling of 338144364 in words is "three hundred thirty-eight million, one hundred forty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 113 202 226 303 339 404 452 606 678 823 909 1017 1212 1356 1646 1818 2034 2469 3292 3636 4068 4938 7407 9876 11413 14814 22826 29628 34239 45652 68478 83123 92999 102717 136956 166246 185998 205434 249369 278997 332492 371996 410868 498738 557994 748107 836991 997476 1115988 1496214 1673982 2992428 3347964 9392899 18785798 28178697 37571596 56357394 84536091 112714788 169072182 338144364