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2428304376 = 233374166697
BaseRepresentation
bin1001000010111100…
…1111101111111000
320021020021122101010
42100233033233320
514433121220001
61040542553520
7114114150411
oct22057175770
96236248333
102428304376
111036795023
125792988a0
132c9118bc4
1419070a808
15e32b78d6
hex90bcfbf8

2428304376 has 64 divisors (see below), whose sum is σ = 6387000480. Its totient is φ = 768337920.

The previous prime is 2428304371. The next prime is 2428304407. The reversal of 2428304376 is 6734038242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428304371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060 + ... + 69756.

Almost surely, 22428304376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428304376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193500240).

2428304376 is an abundant number, since it is smaller than the sum of its proper divisors (3958696104).

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

2428304376 is a wasteful number, since it uses less digits than its factorization.

2428304376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66784 (or 66780 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2428304376 is about 49277.8284424141. The cubic root of 2428304376 is about 1344.1086443140.

The spelling of 2428304376 in words is "two billion, four hundred twenty-eight million, three hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 888 984 1517 3034 4551 6068 9102 12136 18204 36408 66697 133394 200091 266788 400182 533576 800364 1600728 2467789 2734577 4935578 5469154 7403367 8203731 9871156 10938308 14806734 16407462 19742312 21876616 29613468 32814924 59226936 65629848 101179349 202358698 303538047 404717396 607076094 809434792 1214152188 2428304376