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1330401000 = 23353443467
BaseRepresentation
bin100111101001100…
…0100111011101000
310102201101101002010
41033103010323220
510211040313000
6340003035520
744653136055
oct11723047350
93381341063
101330401000
11622a81a65
1231166bba0
13182820636
14c899602c
157bbe7d50
hex4f4c4ee8

1330401000 has 64 divisors (see below), whose sum is σ = 4150860480. Its totient is φ = 354772800.

The previous prime is 1330400989. The next prime is 1330401019. The reversal of 1330401000 is 1040331.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 218734 + ... + 224733.

It is an arithmetic number, because the mean of its divisors is an integer number (64857195).

Almost surely, 21330401000 is an apocalyptic number.

1330401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330401000 is an abundant number, since it is smaller than the sum of its proper divisors (2820459480).

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

1330401000 is a wasteful number, since it uses less digits than its factorization.

1330401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443491 (or 443477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1330401000 is about 36474.6624384654. The cubic root of 1330401000 is about 1099.8349614656.

Adding to 1330401000 its reverse (1040331), we get a palindrome (1331441331).

The spelling of 1330401000 in words is "one billion, three hundred thirty million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 443467 886934 1330401 1773868 2217335 2660802 3547736 4434670 5321604 6652005 8869340 10643208 11086675 13304010 17738680 22173350 26608020 33260025 44346700 53216040 55433375 66520050 88693400 110866750 133040100 166300125 221733500 266080200 332600250 443467000 665200500 1330401000