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1304411420 = 2251323331659
BaseRepresentation
bin100110110111111…
…1011110100011100
310100220110222002002
41031233323310130
510132412131140
6333234021432
744216212514
oct11557736434
93326428062
101304411420
1160a340674
12304a17878
1317a320ba0
14c534c844
15797b2415
hex4dbfbd1c

1304411420 has 96 divisors (see below), whose sum is σ = 3092221440. Its totient is φ = 458599680.

The previous prime is 1304411413. The next prime is 1304411429. The reversal of 1304411420 is 241144031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1304411392 and 1304411401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304411429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979051 + ... + 1979709.

It is an arithmetic number, because the mean of its divisors is an integer number (32210640).

Almost surely, 21304411420 is an apocalyptic number.

1304411420 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 1304411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546110720).

1304411420 is an abundant number, since it is smaller than the sum of its proper divisors (1787810020).

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

1304411420 is a wasteful number, since it uses less digits than its factorization.

1304411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1304411420 is about 36116.6363328591. The cubic root of 1304411420 is about 1092.6260001611.

Adding to 1304411420 its reverse (241144031), we get a palindrome (1545555451).

The spelling of 1304411420 in words is "one billion, three hundred four million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 331 460 598 659 662 1196 1318 1324 1495 1655 2636 2990 3295 3310 4303 5980 6590 6620 7613 8567 8606 13180 15157 15226 17134 17212 21515 30314 30452 34268 38065 42835 43030 60628 75785 76130 85670 86060 98969 151570 152260 171340 197041 197938 218129 303140 394082 395876 436258 494845 788164 872516 985205 989690 1090645 1970410 1979380 2181290 2835677 3940820 4362580 5016967 5671354 10033934 11342708 14178385 20067868 25084835 28356770 50169670 56713540 65220571 100339340 130441142 260882284 326102855 652205710 1304411420