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2305302040 = 235731097243
BaseRepresentation
bin1000100101101000…
…0001111000011000
312221122211110220001
42021122001320120
514210124131130
61020430342344
7111061513126
oct21132017030
95848743801
102305302040
11a833125a8
1254405a9b4
132a97b0562
1417c24c916
15d75bc6ca
hex89681e18

2305302040 has 64 divisors (see below), whose sum is σ = 5306954400. Its totient is φ = 901020672.

The previous prime is 2305302023. The next prime is 2305302127. The reversal of 2305302040 is 402035032.

It is a junction number, because it is equal to n+sod(n) for n = 2305301999 and 2305302017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314659 + ... + 321901.

Almost surely, 22305302040 is an apocalyptic number.

2305302040 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 2305302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653477200).

2305302040 is an abundant number, since it is smaller than the sum of its proper divisors (3001652360).

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

2305302040 is a wasteful number, since it uses less digits than its factorization.

2305302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7436 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2305302040 is about 48013.5610010339. The cubic root of 2305302040 is about 1321.0196513949.

Adding to 2305302040 its reverse (402035032), we get a palindrome (2707337072).

The spelling of 2305302040 in words is "two billion, three hundred five million, three hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 109 146 218 292 365 436 545 584 730 872 1090 1460 2180 2920 4360 7243 7957 14486 15914 28972 31828 36215 39785 57944 63656 72430 79570 144860 159140 289720 318280 528739 789487 1057478 1578974 2114956 2643695 3157948 3947435 4229912 5287390 6315896 7894870 10574780 15789740 21149560 31579480 57632551 115265102 230530204 288162755 461060408 576325510 1152651020 2305302040