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2874496340 = 2251753269593
BaseRepresentation
bin1010101101010101…
…0101010101010100
321102022212112200102
42223111111111110
521341332340330
61153122233232
7131142546542
oct25325252524
97368775612
102874496340
11124563a711
126827b5818
1336a6b1511
141d3a96d92
1511c552945
hexab555554

2874496340 has 96 divisors (see below), whose sum is σ = 6547353120. Its totient is φ = 1056014336.

The previous prime is 2874496321. The next prime is 2874496409. The reversal of 2874496340 is 436944782.

It is a happy number.

2874496340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 449524804 + 2424971536 = 21202^2 + 49244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4847084 + ... + 4847676.

It is an arithmetic number, because the mean of its divisors is an integer number (68201595).

Almost surely, 22874496340 is an apocalyptic number.

2874496340 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 2874496340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273676560).

2874496340 is an abundant number, since it is smaller than the sum of its proper divisors (3672856780).

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

2874496340 is a wasteful number, since it uses less digits than its factorization.

2874496340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The square root of 2874496340 is about 53614.3296143857. The cubic root of 2874496340 is about 1421.8504507552.

The spelling of 2874496340 in words is "two billion, eight hundred seventy-four million, four hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 269 340 530 538 593 901 1060 1076 1186 1345 1802 2372 2690 2965 3604 4505 4573 5380 5930 9010 9146 10081 11860 14257 18020 18292 20162 22865 28514 31429 40324 45730 50405 57028 62858 71285 91460 100810 125716 142570 157145 159517 201620 242369 285140 314290 319034 484738 534293 628580 638068 797585 969476 1068586 1211845 1595170 2137172 2423690 2671465 2711789 3190340 4847380 5342930 5423578 8454401 10685860 10847156 13558945 16908802 27117890 33817604 42272005 54235780 84544010 143724817 169088020 287449634 574899268 718624085 1437248170 2874496340