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2352420 = 2232571867
BaseRepresentation
bin1000111110010100100100
311102111220200
420332110210
51100234140
6122230500
725665240
oct10762444
94374820
102352420
111367454
12955430
13644985
14453420
15317030
hex23e524

2352420 has 72 divisors (see below), whose sum is σ = 8159424. Its totient is φ = 537408.

The previous prime is 2352403. The next prime is 2352433. The reversal of 2352420 is 242532.

2352420 = T349 + T350 + ... + T383.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2352393 and 2352402.

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, 327 + ... + 2193.

22352420 is an apocalyptic number.

2352420 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 2352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079712).

2352420 is an abundant number, since it is smaller than the sum of its proper divisors (5807004).

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

2352420 is a wasteful number, since it uses less digits than its factorization.

2352420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2352420 is about 1533.7600855414. The cubic root of 2352420 is about 132.9959107040.

Adding to 2352420 its reverse (242532), we get a palindrome (2594952).

It can be divided in two parts, 2352 and 420, that added together give a palindrome (2772).

The spelling of 2352420 in words is "two million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1867 3734 5601 7468 9335 11202 13069 16803 18670 22404 26138 28005 33606 37340 39207 52276 56010 65345 67212 78414 84015 112020 117621 130690 156828 168030 196035 235242 261380 336060 392070 470484 588105 784140 1176210 2352420