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2304906240 = 210357131797
BaseRepresentation
bin1000100101100010…
…0001010000000000
312221122002100221210
42021120201100000
514210023444430
61020414050120
7111055244160
oct21130412000
95848070853
102304906240
11a8307219a
12543aa9940
132a96a2360
1417c1885a0
15d75402b0
hex89621400

2304906240 has 704 divisors, whose sum is σ = 9706120704. Its totient is φ = 452984832.

The previous prime is 2304906211. The next prime is 2304906277. The reversal of 2304906240 is 426094032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2304906198 and 2304906207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23761872 + ... + 23761968.

Almost surely, 22304906240 is an apocalyptic number.

2304906240 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 2304906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853060352).

2304906240 is an abundant number, since it is smaller than the sum of its proper divisors (7401214464).

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

2304906240 is a wasteful number, since it uses less digits than its factorization.

2304906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2304906240 is about 48009.4390719158. The cubic root of 2304906240 is about 1320.9440445988.

The spelling of 2304906240 in words is "two billion, three hundred four million, nine hundred six thousand, two hundred forty".