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1300334440 = 235238317029
BaseRepresentation
bin100110110000001…
…1000011101101000
310100121210211111211
41031200120131220
510130341200230
6333010402504
744136442336
oct11540303550
93317724454
101300334440
11608006569
12303590434
13179524282
14c49aab56
157925942a
hex4d818768

1300334440 has 64 divisors (see below), whose sum is σ = 3089923200. Its totient is φ = 491496192.

The previous prime is 1300334429. The next prime is 1300334461. The reversal of 1300334440 is 444330031.

It is a super-2 number, since 2×13003344402 = 3381739311700227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67846 + ... + 84874.

It is an arithmetic number, because the mean of its divisors is an integer number (48280050).

Almost surely, 21300334440 is an apocalyptic number.

1300334440 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 1300334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544961600).

1300334440 is an abundant number, since it is smaller than the sum of its proper divisors (1789588760).

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

1300334440 is a wasteful number, since it uses less digits than its factorization.

1300334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17146 (or 17142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1300334440 is about 36060.1503047339. The cubic root of 1300334440 is about 1091.4864661738.

Adding to 1300334440 its reverse (444330031), we get a palindrome (1744664471).

The spelling of 1300334440 in words is "one billion, three hundred million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 332 415 460 664 830 920 1660 1909 3320 3818 7636 9545 15272 17029 19090 34058 38180 68116 76360 85145 136232 170290 340580 391667 681160 783334 1413407 1566668 1958335 2826814 3133336 3916670 5653628 7067035 7833340 11307256 14134070 15666680 28268140 32508361 56536280 65016722 130033444 162541805 260066888 325083610 650167220 1300334440