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2423305040 = 245132330101
BaseRepresentation
bin1001000001110000…
…1011001101010000
320020212212122120112
42100130023031100
514430331230130
61040243500452
7114023516162
oct22034131520
96225778515
102423305040
11103398aa42
12577687728
132c8088510
1418dba8932
15e2b2b495
hex9070b350

2423305040 has 40 divisors (see below), whose sum is σ = 6067585608. Its totient is φ = 894758400.

The previous prime is 2423304997. The next prime is 2423305057. The reversal of 2423305040 is 405033242.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 2411988544 = 3364^2 + 49112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2423304997 and 2423305015.

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, 1164011 + ... + 1166090.

Almost surely, 22423305040 is an apocalyptic number.

2423305040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2423305040 is an abundant number, since it is smaller than the sum of its proper divisors (3644280568).

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

2423305040 is a wasteful number, since it uses less digits than its factorization.

2423305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330127 (or 2330121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2423305040 is about 49227.0762893755. The cubic root of 2423305040 is about 1343.1856041464.

Adding to 2423305040 its reverse (405033242), we get a palindrome (2828338282).

The spelling of 2423305040 in words is "two billion, four hundred twenty-three million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2330101 4660202 9320404 11650505 18640808 23301010 30291313 37281616 46602020 60582626 93204040 121165252 151456565 186408080 242330504 302913130 484661008 605826260 1211652520 2423305040