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2034892368 = 24344313643
BaseRepresentation
bin111100101001001…
…1111111001010000
312020211000020120000
41321102133321100
513131413023433
6533530450000
7101266204545
oct17122377120
95224006500
102034892368
11954709833
12489593900
13265773132
1415437cbcc
15bd9a6113
hex7949fe50

2034892368 has 100 divisors (see below), whose sum is σ = 5904854208. Its totient is φ = 676537920.

The previous prime is 2034892357. The next prime is 2034892399. The reversal of 2034892368 is 8632984302.

2034892368 is a `hidden beast` number, since 203 + 4 + 89 + 2 + 368 = 666.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 556755 + ... + 560397.

Almost surely, 22034892368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034892368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952427104).

2034892368 is an abundant number, since it is smaller than the sum of its proper divisors (3869961840).

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

2034892368 is a wasteful number, since it uses less digits than its factorization.

2034892368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2034892368 is about 45109.7812896494. The cubic root of 2034892368 is about 1267.2057872497.

The spelling of 2034892368 in words is "two billion, thirty-four million, eight hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 431 432 648 862 1293 1296 1724 2586 3448 3643 3879 5172 6896 7286 7758 10344 10929 11637 14572 15516 20688 21858 23274 29144 31032 32787 34911 43716 46548 58288 62064 65574 69822 87432 93096 98361 131148 139644 174864 186192 196722 262296 279288 295083 393444 524592 558576 590166 786888 1180332 1570133 1573776 2360664 3140266 4710399 4721328 6280532 9420798 12561064 14131197 18841596 25122128 28262394 37683192 42393591 56524788 75366384 84787182 113049576 127180773 169574364 226099152 254361546 339148728 508723092 678297456 1017446184 2034892368