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1300304040 = 233575712711
BaseRepresentation
bin100110110000001…
…0001000010101000
310100121202021210220
41031200101002220
510130334212130
6333010010040
744136254610
oct11540210250
93317667726
101300304040
11607a95742
12303576920
13179513499
14c499da40
1579250410
hex4d8110a8

1300304040 has 128 divisors (see below), whose sum is σ = 4467640320. Its totient is φ = 296582400.

The previous prime is 1300304039. The next prime is 1300304051. The reversal of 1300304040 is 404030031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478285 + ... + 480995.

It is an arithmetic number, because the mean of its divisors is an integer number (34903440).

Almost surely, 21300304040 is an apocalyptic number.

1300304040 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 1300304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233820160).

1300304040 is an abundant number, since it is smaller than the sum of its proper divisors (3167336280).

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

1300304040 is a wasteful number, since it uses less digits than its factorization.

1300304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1300304040 is about 36059.7287843378. The cubic root of 1300304040 is about 1091.4779602987.

Adding to 1300304040 its reverse (404030031), we get a palindrome (1704334071).

The spelling of 1300304040 in words is "one billion, three hundred million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 571 840 1142 1713 2284 2711 2855 3426 3997 4568 5422 5710 6852 7994 8133 8565 10844 11420 11991 13555 13704 15988 16266 17130 18977 19985 21688 22840 23982 27110 31976 32532 34260 37954 39970 40665 47964 54220 56931 59955 65064 68520 75908 79940 81330 94885 95928 108440 113862 119910 151816 159880 162660 189770 227724 239820 284655 325320 379540 455448 479640 569310 759080 1138620 1547981 2277240 3095962 4643943 6191924 7739905 9287886 10835867 12383848 15479810 18575772 21671734 23219715 30959620 32507601 37151544 43343468 46439430 54179335 61919240 65015202 86686936 92878860 108358670 130030404 162538005 185757720 216717340 260060808 325076010 433434680 650152020 1300304040