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2834430368 = 257114128057
BaseRepresentation
bin1010100011110001…
…1111100110100000
321022112110222111112
42220330133212200
521301103232433
61145131402452
7130145155250
oct25074374640
97275428445
102834430368
111224a64540
126712b3428
133622c3943
141cc627960
15118c8b348
hexa8f1f9a0

2834430368 has 96 divisors (see below), whose sum is σ = 7127180928. Its totient is φ = 1077350400.

The previous prime is 2834430353. The next prime is 2834430371. The reversal of 2834430368 is 8630344382.

2834430368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28344303682 = 16067991022081230848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 86996 + ... + 115052.

It is an arithmetic number, because the mean of its divisors is an integer number (74241468).

Almost surely, 22834430368 is an apocalyptic number.

2834430368 is a gapful number since it is divisible by the number (28) 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 2834430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563590464).

2834430368 is an abundant number, since it is smaller than the sum of its proper divisors (4292750560).

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

2834430368 is a wasteful number, since it uses less digits than its factorization.

2834430368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28126 (or 28118 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 2834430368 is about 53239.3685912972. The cubic root of 2834430368 is about 1415.2133958775.

The spelling of 2834430368 in words is "two billion, eight hundred thirty-four million, four hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 154 164 176 224 287 308 328 352 451 574 616 656 902 1148 1232 1312 1804 2296 2464 3157 3608 4592 6314 7216 9184 12628 14432 25256 28057 50512 56114 101024 112228 196399 224456 308627 392798 448912 617254 785596 897824 1150337 1234508 1571192 2160389 2300674 2469016 3142384 4320778 4601348 4938032 6284768 8052359 8641556 9202696 9876064 12653707 16104718 17283112 18405392 25307414 32209436 34566224 36810784 50614828 64418872 69132448 88575949 101229656 128837744 177151898 202459312 257675488 354303796 404918624 708607592 1417215184 2834430368