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1334000034 = 232317389601
BaseRepresentation
bin100111110000011…
…0011100110100010
310102222011020000200
41033200303212202
510213001000114
6340212130030
745025545633
oct11740634642
93388136020
101334000034
1162500aa74
12312906916
131834b0843
14c925188a
157c1a9409
hex4f8339a2

1334000034 has 48 divisors (see below), whose sum is σ = 2911741560. Its totient is φ = 441388800.

The previous prime is 1333999973. The next prime is 1334000093. The reversal of 1334000034 is 4300004331.

It can be written as a sum of positive squares in 4 ways, for example, as 886550625 + 447449409 = 29775^2 + 21153^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1333999980 and 1334000016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219334 + ... + 2219934.

Almost surely, 21334000034 is an apocalyptic number.

1334000034 is an abundant number, since it is smaller than the sum of its proper divisors (1577741526).

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

1334000034 is a wasteful number, since it uses less digits than its factorization.

1334000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1334000034 is about 36523.9652009472. The cubic root of 1334000034 is about 1100.8258354884.

Adding to 1334000034 its reverse (4300004331), we get a palindrome (5634004365).

The spelling of 1334000034 in words is "one billion, three hundred thirty-four million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 317 389 601 634 778 951 1167 1202 1803 1902 2334 2853 3501 3606 5409 5706 7002 10818 123313 190517 233789 246626 369939 381034 467578 571551 701367 739878 1109817 1143102 1402734 1714653 2104101 2219634 3429306 4208202 74111113 148222226 222333339 444666678 667000017 1334000034