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2024674340 = 2251367711637
BaseRepresentation
bin111100010101110…
…0001010000100100
312020002210010001112
41320223201100210
513121304034330
6532523444152
7101113306433
oct17053412044
95202703045
102024674340
1194996a887
12486086658
13263606270
14152c7d11a
15bcb38795
hex78ae1424

2024674340 has 96 divisors (see below), whose sum is σ = 4715553024. Its totient is φ = 725598720.

The previous prime is 2024674339. The next prime is 2024674349. The reversal of 2024674340 is 434764202.

It is a junction number, because it is equal to n+sod(n) for n = 2024674297 and 2024674306.

It is not an unprimeable number, because it can be changed into a prime (2024674349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1236002 + ... + 1237638.

It is an arithmetic number, because the mean of its divisors is an integer number (49120344).

Almost surely, 22024674340 is an apocalyptic number.

2024674340 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 2024674340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357776512).

2024674340 is an abundant number, since it is smaller than the sum of its proper divisors (2690878684).

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

2024674340 is a wasteful number, since it uses less digits than its factorization.

2024674340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 2024674340 is about 44996.3814100645. The cubic root of 2024674340 is about 1265.0811740002.

The spelling of 2024674340 in words is "two billion, twenty-four million, six hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 71 130 134 142 260 268 284 335 355 670 710 871 923 1340 1420 1637 1742 1846 3274 3484 3692 4355 4615 4757 6548 8185 8710 9230 9514 16370 17420 18460 19028 21281 23785 32740 42562 47570 61841 85124 95140 106405 109679 116227 123682 212810 219358 232454 247364 309205 425620 438716 464908 548395 581135 618410 1096790 1162270 1236820 1425827 1510951 2193580 2324540 2851654 3021902 5703308 6043804 7129135 7554755 7787209 14258270 15109510 15574418 28516540 30219020 31148836 38936045 77872090 101233717 155744180 202467434 404934868 506168585 1012337170 2024674340