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1941328296 = 233417091753
BaseRepresentation
bin111001110110110…
…0101000110101000
312000021221200210000
41303231211012220
512433440001141
6520345223000
766052006155
oct16355450650
95007850700
101941328296
11906913756
12462191a60
1324c273b8b
14145b8522c
15b56735b6
hex73b651a8

1941328296 has 80 divisors (see below), whose sum is σ = 5443802100. Its totient is φ = 646361856.

The previous prime is 1941328189. The next prime is 1941328297. The reversal of 1941328296 is 6928231491.

It can be written as a sum of positive squares in 2 ways, for example, as 1532722500 + 408605796 = 39150^2 + 20214^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1941328297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1106556 + ... + 1108308.

Almost surely, 21941328296 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 1941328296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721901050).

1941328296 is an abundant number, since it is smaller than the sum of its proper divisors (3502473804).

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

1941328296 is a wasteful number, since it uses less digits than its factorization.

1941328296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3467 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1941328296 is about 44060.5072145113. The cubic root of 1941328296 is about 1247.4782860011.

The spelling of 1941328296 in words is "one billion, nine hundred forty-one million, three hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1709 1753 3418 3506 5127 5259 6836 7012 10254 10518 13672 14024 15381 15777 20508 21036 30762 31554 41016 42072 46143 47331 61524 63108 92286 94662 123048 126216 138429 141993 184572 189324 276858 283986 369144 378648 553716 567972 1107432 1135944 2995877 5991754 8987631 11983508 17975262 23967016 26962893 35950524 53925786 71901048 80888679 107851572 161777358 215703144 242666037 323554716 485332074 647109432 970664148 1941328296