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2077042344 = 233136721483
BaseRepresentation
bin111101111001101…
…0010011010101000
312100202022200110020
41323303102122220
513223210323334
6542034120440
7102320366016
oct17363223250
95322280406
102077042344
11976488723
1249b720120
13271410450
14159bd18b6
15c252ee49
hex7bcd26a8

2077042344 has 96 divisors (see below), whose sum is σ = 5680573920. Its totient is φ = 629126784.

The previous prime is 2077042309. The next prime is 2077042421. The reversal of 2077042344 is 4432407702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399827 + ... + 1401309.

It is an arithmetic number, because the mean of its divisors is an integer number (59172645).

Almost surely, 22077042344 is an apocalyptic number.

2077042344 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 2077042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840286960).

2077042344 is an abundant number, since it is smaller than the sum of its proper divisors (3603531576).

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

2077042344 is a wasteful number, since it uses less digits than its factorization.

2077042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 2077042344 is about 45574.5800200068. The cubic root of 2077042344 is about 1275.8955326338.

The spelling of 2077042344 in words is "two billion, seventy-seven million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1483 1608 1742 2613 2966 3484 4449 4489 5226 5932 6968 8898 8978 10452 11864 13467 17796 17956 19279 20904 26934 35592 35912 38558 53868 57837 58357 77116 99361 107736 115674 116714 154232 175071 198722 231348 233428 298083 350142 397444 462696 466856 596166 700284 794888 1192332 1291693 1400568 2384664 2583386 3875079 5166772 6657187 7750158 10333544 13314374 15500316 19971561 26628748 31000632 39943122 53257496 79886244 86543431 159772488 173086862 259630293 346173724 519260586 692347448 1038521172 2077042344