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3128424 = 2331337271
BaseRepresentation
bin1011111011110001101000
312212221101120
423323301220
51300102144
6151015240
735406525
oct13736150
95787346
103128424
111847482
12106a520
13856c50
145b614c
1541be19
hex2fbc68

3128424 has 64 divisors (see below), whose sum is σ = 8682240. Its totient is φ = 933120.

The previous prime is 3128401. The next prime is 3128443. The reversal of 3128424 is 4248213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3128394 and 3128403.

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 15 ways as a sum of consecutive naturals, for example, 11409 + ... + 11679.

It is an arithmetic number, because the mean of its divisors is an integer number (135660).

Almost surely, 23128424 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 3128424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341120).

3128424 is an abundant number, since it is smaller than the sum of its proper divisors (5553816).

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

3128424 is a wasteful number, since it uses less digits than its factorization.

3128424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3128424 is about 1768.7351412803. The cubic root of 3128424 is about 146.2542638833.

The spelling of 3128424 in words is "three million, one hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 271 296 312 444 481 542 813 888 962 1084 1443 1626 1924 2168 2886 3252 3523 3848 5772 6504 7046 10027 10569 11544 14092 20054 21138 28184 30081 40108 42276 60162 80216 84552 120324 130351 240648 260702 391053 521404 782106 1042808 1564212 3128424