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2931398240 = 25537948341
BaseRepresentation
bin1010111010111001…
…1001011001100000
321120021221110102012
42232232121121200
522000414220430
61202514012052
7132433321361
oct25656313140
97507843365
102931398240
111274774981
12699877028
13379415294
141db469b68
15122542695
hexaeb99660

2931398240 has 48 divisors (see below), whose sum is σ = 6943844880. Its totient is φ = 1169441280.

The previous prime is 2931398237. The next prime is 2931398257. The reversal of 2931398240 is 428931392.

2931398240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36470 + ... + 84810.

It is an arithmetic number, because the mean of its divisors is an integer number (144663435).

Almost surely, 22931398240 is an apocalyptic number.

2931398240 is a gapful number since it is divisible by the number (20) 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 2931398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471922440).

2931398240 is an abundant number, since it is smaller than the sum of its proper divisors (4012446640).

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

2931398240 is a wasteful number, since it uses less digits than its factorization.

2931398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48735 (or 48727 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 2931398240 is about 54142.3885694010. The cubic root of 2931398240 is about 1431.1712639765.

The spelling of 2931398240 in words is "two billion, nine hundred thirty-one million, three hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 6064 7580 12128 15160 30320 48341 60640 96682 193364 241705 386728 483410 773456 966820 1546912 1933640 3867280 7734560 18321239 36642478 73284956 91606195 146569912 183212390 293139824 366424780 586279648 732849560 1465699120 2931398240