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2380114944 = 21032416299
BaseRepresentation
bin1000110111011101…
…1010110000000000
320010212121100220100
42031313122300000
514333302134234
61032102042400
7112660433424
oct21567326000
96125540810
102380114944
111011570649
12565119400
132bc14594c
14188164b84
15dde49399
hex8dddac00

2380114944 has 132 divisors (see below), whose sum is σ = 7041270600. Its totient is φ = 773898240.

The previous prime is 2380114943. The next prime is 2380114949. The reversal of 2380114944 is 4494110832.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2380114899 and 2380114908.

It is not an unprimeable number, because it can be changed into a prime (2380114943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374707 + ... + 381005.

Almost surely, 22380114944 is an apocalyptic number.

2380114944 is a gapful number since it is divisible by the number (24) 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 2380114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520635300).

2380114944 is an abundant number, since it is smaller than the sum of its proper divisors (4661155656).

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

2380114944 is a wasteful number, since it uses less digits than its factorization.

2380114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2380114944 is about 48786.4217175230. The cubic root of 2380114944 is about 1335.1579428500.

The spelling of 2380114944 in words is "two billion, three hundred eighty million, one hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2304 2624 2952 3072 3936 4608 5248 5904 6299 7872 9216 10496 11808 12598 15744 18897 20992 23616 25196 31488 37794 41984 47232 50392 56691 62976 75588 94464 100784 113382 125952 151176 188928 201568 226764 258259 302352 377856 403136 453528 516518 604704 774777 806272 907056 1033036 1209408 1549554 1612544 1814112 2066072 2324331 2418816 3099108 3225088 3628224 4132144 4648662 4837632 6198216 6450176 7256448 8264288 9297324 9675264 12396432 14512896 16528576 18594648 19350528 24792864 29025792 33057152 37189296 49585728 58051584 66114304 74378592 99171456 132228608 148757184 198342912 264457216 297514368 396685824 595028736 793371648 1190057472 2380114944