Search a number
-
+
1304041040 = 245311912753
BaseRepresentation
bin100110110111010…
…0001011001010000
310100212210011000022
41031232201121100
510132313303130
6333222043012
744213110631
oct11556413120
93325704008
101304041040
1160a108375
12304879468
1317a221423
14c5293888
157973c7e5
hex4dba1650

1304041040 has 80 divisors (see below), whose sum is σ = 3147227136. Its totient is φ = 501964800.

The previous prime is 1304041021. The next prime is 1304041073. The reversal of 1304041040 is 401404031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 472304 + ... + 475056.

Almost surely, 21304041040 is an apocalyptic number.

1304041040 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 1304041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573613568).

1304041040 is an abundant number, since it is smaller than the sum of its proper divisors (1843186096).

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

1304041040 is a wasteful number, since it uses less digits than its factorization.

1304041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1304041040 is about 36111.5084149084. The cubic root of 1304041040 is about 1092.5225754490.

Adding to 1304041040 its reverse (401404031), we get a palindrome (1705445071).

The spelling of 1304041040 in words is "one billion, three hundred four million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 191 248 310 382 496 620 764 955 1240 1528 1910 2480 2753 3056 3820 5506 5921 7640 11012 11842 13765 15280 22024 23684 27530 29605 44048 47368 55060 59210 85343 94736 110120 118420 170686 220240 236840 341372 426715 473680 525823 682744 853430 1051646 1365488 1706860 2103292 2629115 3413720 4206584 5258230 6827440 8413168 10516460 16300513 21032920 32601026 42065840 65202052 81502565 130404104 163005130 260808208 326010260 652020520 1304041040