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1304341040 = 245236111621
BaseRepresentation
bin100110110111110…
…1010101000110000
310100220100101112102
41031233222220300
510132402403130
6333232315532
744215500362
oct11557525060
93326311472
101304341040
1160a2a2802
123049a2ba8
1317a2c7b42
14c5330d32
157979b645
hex4dbeaa30

1304341040 has 80 divisors (see below), whose sum is σ = 3216597696. Its totient is φ = 490828800.

The previous prime is 1304341037. The next prime is 1304341061. The reversal of 1304341040 is 401434031.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 106430 + ... + 118050.

Almost surely, 21304341040 is an apocalyptic number.

1304341040 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 1304341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608298848).

1304341040 is an abundant number, since it is smaller than the sum of its proper divisors (1912256656).

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

1304341040 is a wasteful number, since it uses less digits than its factorization.

1304341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1304341040 is about 36115.6619764888. The cubic root of 1304341040 is about 1092.6063487945.

Adding to 1304341040 its reverse (401434031), we get a palindrome (1705775071).

The spelling of 1304341040 in words is "one billion, three hundred four million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 368 460 488 610 920 976 1220 1403 1840 2440 2806 4880 5612 7015 11224 11621 14030 22448 23242 28060 46484 56120 58105 92968 112240 116210 185936 232420 267283 464840 534566 708881 929680 1069132 1336415 1417762 2138264 2672830 2835524 3544405 4276528 5345660 5671048 7088810 10691320 11342096 14177620 16304263 21382640 28355240 32608526 56710480 65217052 81521315 130434104 163042630 260868208 326085260 652170520 1304341040