Search a number
-
+
3123404388 = 223513247183
BaseRepresentation
bin1011101000101011…
…0101111001100100
322001200020101100000
42322022311321210
522344042420023
61233533221300
7140254333146
oct27212657144
98050211300
103123404388
111363097a45
12732031830
133aa130ba0
14218b6ac96
1513431d243
hexba2b5e64

3123404388 has 72 divisors (see below), whose sum is σ = 8817547648. Its totient is φ = 961043616.

The previous prime is 3123404387. The next prime is 3123404399. The reversal of 3123404388 is 8834043213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3123404387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110956 + ... + 136227.

Almost surely, 23123404388 is an apocalyptic number.

It is an amenable number.

3123404388 is an abundant number, since it is smaller than the sum of its proper divisors (5694143260).

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

3123404388 is a wasteful number, since it uses less digits than its factorization.

3123404388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247215 (or 247201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3123404388 is about 55887.4260276853. The cubic root of 3123404388 is about 1461.7599948614.

The spelling of 3123404388 in words is "three billion, one hundred twenty-three million, four hundred four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 247183 494366 741549 988732 1483098 2224647 2966196 3213379 4449294 6426758 6673941 8898588 9640137 12853516 13347882 19280274 20021823 26695764 28920411 38560548 40043646 57840822 60065469 80087292 86761233 115681644 120130938 173522466 240261876 260283699 347044932 520567398 780851097 1041134796 1561702194 3123404388