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2304841640 = 2351715721589
BaseRepresentation
bin1000100101100001…
…0001011110101000
312221121222002100012
42021120101132220
514210014413030
61020412431052
7111054554633
oct21130213650
95847862305
102304841640
11a83028702
12543a78488
132a967bb2a
1417c16cc1a
15d752b095
hex896117a8

2304841640 has 64 divisors (see below), whose sum is σ = 5526176400. Its totient is φ = 862138368.

The previous prime is 2304841639. The next prime is 2304841663. The reversal of 2304841640 is 461484032.

It can be written as a sum of positive squares in 8 ways, for example, as 1053521764 + 1251319876 = 32458^2 + 35374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2304841597 and 2304841606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95966 + ... + 117554.

Almost surely, 22304841640 is an apocalyptic number.

2304841640 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 2304841640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763088200).

2304841640 is an abundant number, since it is smaller than the sum of its proper divisors (3221334760).

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

2304841640 is a wasteful number, since it uses less digits than its factorization.

2304841640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774 (or 21770 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2304841640 is about 48008.7662828363. The cubic root of 2304841640 is about 1320.9317037088.

The spelling of 2304841640 in words is "two billion, three hundred four million, eight hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 157 170 314 340 628 680 785 1256 1570 2669 3140 5338 6280 10676 13345 21352 21589 26690 43178 53380 86356 106760 107945 172712 215890 367013 431780 734026 863560 1468052 1835065 2936104 3389473 3670130 6778946 7340260 13557892 14680520 16947365 27115784 33894730 57621041 67789460 115242082 135578920 230484164 288105205 460968328 576210410 1152420820 2304841640