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2342480 = 24574789
BaseRepresentation
bin1000111011111001010000
311102000021112
420323321100
51044424410
6122112452
725624250
oct10737120
94360245
102342480
11135aa38
1294b728
136402aa
1444d960
15314105
hex23be50

2342480 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 777216.

The previous prime is 2342479. The next prime is 2342513. The reversal of 2342480 is 842432.

2342480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26276 + ... + 26364.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

22342480 is an apocalyptic number.

2342480 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 2342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2342480 is an abundant number, since it is smaller than the sum of its proper divisors (4085680).

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

2342480 is a wasteful number, since it uses less digits than its factorization.

2342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2342480 is about 1530.5162527722. The cubic root of 2342480 is about 132.8083243439.

The spelling of 2342480 in words is "two million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 89 94 112 140 178 188 235 280 329 356 376 445 470 560 623 658 712 752 890 940 1246 1316 1424 1645 1780 1880 2492 2632 3115 3290 3560 3760 4183 4984 5264 6230 6580 7120 8366 9968 12460 13160 16732 20915 24920 26320 29281 33464 41830 49840 58562 66928 83660 117124 146405 167320 234248 292810 334640 468496 585620 1171240 2342480