Search a number
-
+
1404311320 = 235375317903
BaseRepresentation
bin101001110110100…
…0001011100011000
310121212110101222101
41103231001130120
510334000430240
6351203133144
746541310046
oct12355013430
93555411871
101404311320
11660773975
123323741b4
13194c2ac59
14d4715396
158344739a
hex53b41718

1404311320 has 64 divisors (see below), whose sum is σ = 3306510720. Its totient is φ = 536200704.

The previous prime is 1404311309. The next prime is 1404311351. The reversal of 1404311320 is 231134041.

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, 69489 + ... + 87391.

It is an arithmetic number, because the mean of its divisors is an integer number (51664230).

Almost surely, 21404311320 is an apocalyptic number.

1404311320 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 1404311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653255360).

1404311320 is an abundant number, since it is smaller than the sum of its proper divisors (1902199400).

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

1404311320 is a wasteful number, since it uses less digits than its factorization.

1404311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18004 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1404311320 is about 37474.1420181970. The cubic root of 1404311320 is about 1119.8361048441.

Adding to 1404311320 its reverse (231134041), we get a palindrome (1635445361).

The spelling of 1404311320 in words is "one billion, four hundred four million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 53 74 106 148 185 212 265 296 370 424 530 740 1060 1480 1961 2120 3922 7844 9805 15688 17903 19610 35806 39220 71612 78440 89515 143224 179030 358060 662411 716120 948859 1324822 1897718 2649644 3312055 3795436 4744295 5299288 6624110 7590872 9488590 13248220 18977180 26496440 35107783 37954360 70215566 140431132 175538915 280862264 351077830 702155660 1404311320