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2343840 = 253519257
BaseRepresentation
bin1000111100001110100000
311102002010220
420330032200
51100000330
6122123040
725631232
oct10741640
94362126
102343840
111360a64
12950480
13640ab5
14450252
15314710
hex23c3a0

2343840 has 96 divisors (see below), whose sum is σ = 7801920. Its totient is φ = 589824.

The previous prime is 2343833. The next prime is 2343857. The reversal of 2343840 is 483432.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2343840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8992 + ... + 9248.

It is an arithmetic number, because the mean of its divisors is an integer number (81270).

22343840 is an apocalyptic number.

2343840 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 2343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900960).

2343840 is an abundant number, since it is smaller than the sum of its proper divisors (5458080).

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

2343840 is a wasteful number, since it uses less digits than its factorization.

2343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2343840 is about 1530.9604828342. The cubic root of 2343840 is about 132.8340213798.

The spelling of 2343840 in words is "two million, three hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 257 285 304 380 456 480 514 570 608 760 771 912 1028 1140 1285 1520 1542 1824 2056 2280 2570 3040 3084 3855 4112 4560 4883 5140 6168 7710 8224 9120 9766 10280 12336 14649 15420 19532 20560 24415 24672 29298 30840 39064 41120 48830 58596 61680 73245 78128 97660 117192 123360 146490 156256 195320 234384 292980 390640 468768 585960 781280 1171920 2343840