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2993974320 = 243515238191
BaseRepresentation
bin1011001001110100…
…0110110000110000
321201122200122122210
42302131012300300
522112424134240
61213031132120
7134123235051
oct26235066060
97648618583
102993974320
1112a7025247
126b6814040
1338938494c
142058b8728
15127ca3780
hexb2746c30

2993974320 has 80 divisors (see below), whose sum is σ = 9288548352. Its totient is φ = 797771520.

The previous prime is 2993974289. The next prime is 2993974337. The reversal of 2993974320 is 234793992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2993974320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361425 + ... + 369615.

Almost surely, 22993974320 is an apocalyptic number.

2993974320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2993974320 is an abundant number, since it is smaller than the sum of its proper divisors (6294574032).

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

2993974320 is a wasteful number, since it uses less digits than its factorization.

2993974320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 2993974320 is about 54717.2214206825. The cubic root of 2993974320 is about 1441.2833081542.

The spelling of 2993974320 in words is "two billion, nine hundred ninety-three million, nine hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1523 3046 4569 6092 7615 8191 9138 12184 15230 16382 18276 22845 24368 24573 30460 32764 36552 40955 45690 49146 60920 65528 73104 81910 91380 98292 121840 122865 131056 163820 182760 196584 245730 327640 365520 393168 491460 655280 982920 1965840 12474893 24949786 37424679 49899572 62374465 74849358 99799144 124748930 149698716 187123395 199598288 249497860 299397432 374246790 498995720 598794864 748493580 997991440 1496987160 2993974320