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2948382384 = 243792812767
BaseRepresentation
bin1010111110111100…
…1011111010110000
321121110220100021120
42233233023322300
522014241214014
61204322022240
7133030560003
oct25757137260
97543810246
102948382384
111283315362
126a34a7980
1337cab0a7c
141dd80b53a
15123c99ba9
hexafbcbeb0

2948382384 has 80 divisors (see below), whose sum is σ = 7743313920. Its totient is φ = 966551040.

The previous prime is 2948382383. The next prime is 2948382389. The reversal of 2948382384 is 4832838492.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2948382383) 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, 1064169 + ... + 1066935.

It is an arithmetic number, because the mean of its divisors is an integer number (96791424).

Almost surely, 22948382384 is an apocalyptic number.

2948382384 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 2948382384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871656960).

2948382384 is an abundant number, since it is smaller than the sum of its proper divisors (4794931536).

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

2948382384 is a wasteful number, since it uses less digits than its factorization.

2948382384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3132 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 2948382384 is about 54299.0090517313. The cubic root of 2948382384 is about 1433.9299503411.

The spelling of 2948382384 in words is "two billion, nine hundred forty-eight million, three hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 281 316 474 562 632 843 948 1124 1264 1686 1896 2248 2767 3372 3792 4496 5534 6744 8301 11068 13488 16602 22136 22199 33204 44272 44398 66408 66597 88796 132816 133194 177592 218593 266388 355184 437186 532776 655779 777527 874372 1065552 1311558 1555054 1748744 2332581 2623116 3110108 3497488 4665162 5246232 6220216 9330324 10492464 12440432 18660648 37321296 61424633 122849266 184273899 245698532 368547798 491397064 737095596 982794128 1474191192 2948382384