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331030320 = 24351499257
BaseRepresentation
bin10011101110110…
…001111100110000
3212001220002020020
4103232301330300
51134220432240
652503043440
711126465655
oct2356617460
9761802206
10331030320
1115a948a85
1292a40580
1353773a3a
1431d6dc2c
151e0dd0d0
hex13bb1f30

331030320 has 80 divisors (see below), whose sum is σ = 1033192800. Its totient is φ = 87672832.

The previous prime is 331030309. The next prime is 331030321. The reversal of 331030320 is 23030133.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 331030320.

It is not an unprimeable number, because it can be changed into a prime (331030321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31132 + ... + 40388.

It is an arithmetic number, because the mean of its divisors is an integer number (12914910).

Almost surely, 2331030320 is an apocalyptic number.

331030320 is a gapful number since it is divisible by the number (30) 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 331030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516596400).

331030320 is an abundant number, since it is smaller than the sum of its proper divisors (702162480).

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

331030320 is a wasteful number, since it uses less digits than its factorization.

331030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 331030320 is about 18194.2386485393. The cubic root of 331030320 is about 691.7607624117.

Adding to 331030320 its reverse (23030133), we get a palindrome (354060453).

The spelling of 331030320 in words is "three hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 7152 8940 9257 11920 17880 18514 27771 35760 37028 46285 55542 74056 92570 111084 138855 148112 185140 222168 277710 370280 444336 555420 740560 1110840 1379293 2221680 2758586 4137879 5517172 6896465 8275758 11034344 13792930 16551516 20689395 22068688 27585860 33103032 41378790 55171720 66206064 82757580 110343440 165515160 331030320