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2338570672 = 242997223233
BaseRepresentation
bin1000101101100011…
…1100000110110000
320000222102200212121
42023120330012300
514242133230142
61024015404024
7111644344204
oct21330740660
96028380777
102338570672
11aa0075839
12553223614
132b365b239
1418282cb04
15da48ec67
hex8b63c1b0

2338570672 has 80 divisors (see below), whose sum is σ = 4777194240. Its totient is φ = 1107542016.

The previous prime is 2338570657. The next prime is 2338570679. The reversal of 2338570672 is 2760758332.

It is not an unprimeable number, because it can be changed into a prime (2338570679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10036668 + ... + 10036900.

It is an arithmetic number, because the mean of its divisors is an integer number (59714928).

Almost surely, 22338570672 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 2338570672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388597120).

2338570672 is an abundant number, since it is smaller than the sum of its proper divisors (2438623568).

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

2338570672 is a wasteful number, since it uses less digits than its factorization.

2338570672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The square root of 2338570672 is about 48358.7703731185. The cubic root of 2338570672 is about 1327.3440263239.

The spelling of 2338570672 in words is "two billion, three hundred thirty-eight million, five hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 97 116 194 223 232 233 388 446 464 466 776 892 932 1552 1784 1864 2813 3568 3728 5626 6467 6757 11252 12934 13514 21631 22504 22601 25868 27028 43262 45008 45202 51736 51959 54056 86524 90404 103472 103918 108112 173048 180808 207836 346096 361616 415672 627299 655429 831344 1254598 1310858 1506811 2509196 2621716 3013622 5018392 5040023 5243432 6027244 10036784 10080046 10486864 12054488 20160092 24108976 40320184 80640368 146160667 292321334 584642668 1169285336 2338570672