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1334000320 = 2657952769
BaseRepresentation
bin100111110000011…
…0011101011000000
310102222011020102021
41033200303223000
510213001002240
6340212131224
745025546522
oct11740635300
93388136367
101334000320
11625010204
12312906b14
131834b0a03
14c9251a12
157c1a954a
hex4f833ac0

1334000320 has 56 divisors (see below), whose sum is σ = 3216859200. Its totient is φ = 526835712.

The previous prime is 1334000293. The next prime is 1334000323. The reversal of 1334000320 is 230004331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1334000294 and 1334000303.

It is not an unprimeable number, because it can be changed into a prime (1334000323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105 + ... + 51664.

Almost surely, 21334000320 is an apocalyptic number.

1334000320 is a gapful number since it is divisible by the number (10) 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 1334000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608429600).

1334000320 is an abundant number, since it is smaller than the sum of its proper divisors (1882858880).

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

1334000320 is an equidigital number, since it uses as much as digits as its factorization.

1334000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52865 (or 52855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1334000320 is about 36523.9691161845. The cubic root of 1334000320 is about 1100.8259141581.

Adding to 1334000320 its reverse (230004331), we get a palindrome (1564004651).

The spelling of 1334000320 in words is "one billion, three hundred thirty-four million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 5056 6320 12640 25280 52769 105538 211076 263845 422152 527690 844304 1055380 1688608 2110760 3377216 4168751 4221520 8337502 8443040 16675004 16886080 20843755 33350008 41687510 66700016 83375020 133400032 166750040 266800064 333500080 667000160 1334000320