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2390416 = 24723049
BaseRepresentation
bin1001000111100110010000
311111110000221
421013212100
51102443131
6123122424
726214100
oct11074620
94443027
102390416
111392a56
12973414
13659062
14463200
15323411
hex247990

2390416 has 30 divisors (see below), whose sum is σ = 5389350. Its totient is φ = 1024128.

The previous prime is 2390411. The next prime is 2390417. The reversal of 2390416 is 6140932.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 802816 = 1260^2 + 896^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2390411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 741 + ... + 2308.

It is an arithmetic number, because the mean of its divisors is an integer number (179645).

22390416 is an apocalyptic number.

It is an amenable number.

2390416 is an abundant number, since it is smaller than the sum of its proper divisors (2998934).

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

2390416 is a wasteful number, since it uses less digits than its factorization.

2390416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2390416 is about 1546.0970215352. The cubic root of 2390416 is about 133.7081343333.

Subtracting from 2390416 its sum of digits (25), we obtain a triangular number (2390391 = T2186).

The spelling of 2390416 in words is "two million, three hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3049 6098 12196 21343 24392 42686 48784 85372 149401 170744 298802 341488 597604 1195208 2390416