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2924320 = 25572373
BaseRepresentation
bin1011001001111100100000
312111120102011
423021330200
51222034240
6142402304
733566500
oct13117440
95446364
102924320
1117180a3
12b90394
137b5089
14561a00
153cb6ea
hex2c9f20

2924320 has 72 divisors (see below), whose sum is σ = 8058204. Its totient is φ = 999936.

The previous prime is 2924303. The next prime is 2924321. The reversal of 2924320 is 234292.

It can be written as a sum of positive squares in 2 ways, for example, as 2917264 + 7056 = 1708^2 + 84^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2924291 and 2924300.

It is not an unprimeable number, because it can be changed into a prime (2924321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7654 + ... + 8026.

22924320 is an apocalyptic number.

2924320 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 2924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029102).

2924320 is an abundant number, since it is smaller than the sum of its proper divisors (5133884).

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

2924320 is a wasteful number, since it uses less digits than its factorization.

2924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2924320 is about 1710.0643262755. The cubic root of 2924320 is about 143.0018419571.

The spelling of 2924320 in words is "two million, nine hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 373 392 490 560 746 784 980 1120 1492 1568 1865 1960 2611 2984 3730 3920 5222 5968 7460 7840 10444 11936 13055 14920 18277 20888 26110 29840 36554 41776 52220 59680 73108 83552 91385 104440 146216 182770 208880 292432 365540 417760 584864 731080 1462160 2924320