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2343780 = 2232529449
BaseRepresentation
bin1000111100001101100100
311102002001200
420330031210
51100000110
6122122500
725631115
oct10741544
94362050
102343780
111360a0a
12950430
13640a6a
1445020c
153146c0
hex23c364

2343780 has 72 divisors (see below), whose sum is σ = 7371000. Its totient is φ = 602112.

The previous prime is 2343779. The next prime is 2343787. The reversal of 2343780 is 873432.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 2005056 = 582^2 + 1416^2 .

It is not an unprimeable number, because it can be changed into a prime (2343787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4996 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

22343780 is an apocalyptic number.

2343780 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 2343780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685500).

2343780 is an abundant number, since it is smaller than the sum of its proper divisors (5027220).

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

2343780 is a wasteful number, since it uses less digits than its factorization.

2343780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2343780 is about 1530.9408871671. The cubic root of 2343780 is about 132.8328878966.

The spelling of 2343780 in words is "two million, three hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 449 522 580 870 898 1044 1305 1347 1740 1796 2245 2610 2694 4041 4490 5220 5388 6735 8082 8980 13021 13470 16164 20205 26042 26940 39063 40410 52084 65105 78126 80820 117189 130210 156252 195315 234378 260420 390630 468756 585945 781260 1171890 2343780