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2348020 = 2251937167
BaseRepresentation
bin1000111101001111110100
311102021212201
420331033310
51100114040
6122154244
725646353
oct10751764
94367781
102348020
111364114
12952984
1364297c
1445199a
15315a9a
hex23d3f4

2348020 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 860544.

The previous prime is 2348011. The next prime is 2348053. The reversal of 2348020 is 208432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 13977 + ... + 14143.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22348020 is an apocalyptic number.

2348020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2348020 is an abundant number, since it is smaller than the sum of its proper divisors (3014540).

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

2348020 is a wasteful number, since it uses less digits than its factorization.

2348020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2348020 is about 1532.3250307947. The cubic root of 2348020 is about 132.9129398015.

The spelling of 2348020 in words is "two million, three hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 167 185 190 334 370 380 668 703 740 835 1406 1670 2812 3173 3340 3515 6179 6346 7030 12358 12692 14060 15865 24716 30895 31730 61790 63460 117401 123580 234802 469604 587005 1174010 2348020