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2369280 = 2835617
BaseRepresentation
bin1001000010011100000000
311110101001010
421002130000
51101304110
6122440520
726065344
oct11023400
94411033
102369280
111379091
12963140
1364c554
14459624
1531c020
hex242700

2369280 has 72 divisors (see below), whose sum is σ = 7579152. Its totient is φ = 630784.

The previous prime is 2369261. The next prime is 2369291. The reversal of 2369280 is 829632.

It is a super-2 number, since 2×23692802 = 11226975436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3532 + ... + 4148.

It is an arithmetic number, because the mean of its divisors is an integer number (105266).

22369280 is an apocalyptic number.

2369280 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 2369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789576).

2369280 is an abundant number, since it is smaller than the sum of its proper divisors (5209872).

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

2369280 is an equidigital number, since it uses as much as digits as its factorization.

2369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2369280 is about 1539.2465689421. The cubic root of 2369280 is about 133.3128857533.

The spelling of 2369280 in words is "two million, three hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 617 640 768 960 1234 1280 1851 1920 2468 3085 3702 3840 4936 6170 7404 9255 9872 12340 14808 18510 19744 24680 29616 37020 39488 49360 59232 74040 78976 98720 118464 148080 157952 197440 236928 296160 394880 473856 592320 789760 1184640 2369280