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2134274064 = 2431310931379
BaseRepresentation
bin111111100110110…
…0111000000010000
312111202000100121120
41333031213000100
513332333232224
6551440522240
7103614013236
oct17715470020
95452010546
102134274064
119a581876a
124b6920380
1328022b380
1416364c956
15c7587779
hex7f367010

2134274064 has 80 divisors (see below), whose sum is σ = 5992324800. Its totient is φ = 650654208.

The previous prime is 2134274059. The next prime is 2134274099. The reversal of 2134274064 is 4604724312.

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, 52327 + ... + 83705.

It is an arithmetic number, because the mean of its divisors is an integer number (74904060).

Almost surely, 22134274064 is an apocalyptic number.

2134274064 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 2134274064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996162400).

2134274064 is an abundant number, since it is smaller than the sum of its proper divisors (3858050736).

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

2134274064 is a wasteful number, since it uses less digits than its factorization.

2134274064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31512 (or 31506 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2134274064 is about 46198.2041209396. The cubic root of 2134274064 is about 1287.5083736408.

Adding to 2134274064 its reverse (4604724312), we get a palindrome (6738998376).

The spelling of 2134274064 in words is "two billion, one hundred thirty-four million, two hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 312 327 436 624 654 872 1308 1417 1744 2616 2834 4251 5232 5668 8502 11336 17004 22672 31379 34008 62758 68016 94137 125516 188274 251032 376548 407927 502064 753096 815854 1223781 1506192 1631708 2447562 3263416 3420311 4895124 6526832 6840622 9790248 10260933 13681244 19580496 20521866 27362488 41043732 44464043 54724976 82087464 88928086 133392129 164174928 177856172 266784258 355712344 533568516 711424688 1067137032 2134274064