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3138828 = 2237114379
BaseRepresentation
bin1011111110010100001100
312220110122220
423332110030
51300420303
6151135340
735452050
oct13762414
95813586
103138828
111854280
121074550
1385b8c4
145b9c60
15420053
hex2fe50c

3138828 has 96 divisors (see below), whose sum is σ = 9461760. Its totient is φ = 786240.

The previous prime is 3138809. The next prime is 3138847. The reversal of 3138828 is 8288313.

It is an interprime number because it is at equal distance from previous prime (3138809) and next prime (3138847).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 39693 + ... + 39771.

It is an arithmetic number, because the mean of its divisors is an integer number (98560).

Almost surely, 23138828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730880).

3138828 is an abundant number, since it is smaller than the sum of its proper divisors (6322932).

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

3138828 is a wasteful number, since it uses less digits than its factorization.

3138828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 3138828 is about 1771.6737848712. The cubic root of 3138828 is about 146.4162139766.

It can be divided in two parts, 3 and 138828, that added together give a palindrome (138831).

The spelling of 3138828 in words is "three million, one hundred thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 79 84 86 129 132 154 158 172 231 237 258 301 308 316 462 473 474 516 553 602 869 903 924 946 948 1106 1204 1419 1659 1738 1806 1892 2212 2607 2838 3311 3318 3397 3476 3612 5214 5676 6083 6622 6636 6794 9933 10191 10428 12166 13244 13588 18249 19866 20382 23779 24332 36498 37367 39732 40764 47558 71337 72996 74734 95116 112101 142674 149468 224202 261569 285348 448404 523138 784707 1046276 1569414 3138828