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1004330320 = 24572961843
BaseRepresentation
bin111011110111001…
…101110101010000
32120222211021012021
4323313031311100
54024102032240
6243354141224
733613444510
oct7367156520
92528737167
101004330320
11475a11264
12240421814
131300c51c6
1497557840
155d28954a
hex3bdcdd50

1004330320 has 80 divisors (see below), whose sum is σ = 2760716160. Its totient is φ = 332462592.

The previous prime is 1004330303. The next prime is 1004330339. The reversal of 1004330320 is 230334001.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 1004330294 and 1004330303.

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, 14682 + ... + 47161.

It is an arithmetic number, because the mean of its divisors is an integer number (34508952).

Almost surely, 21004330320 is an apocalyptic number.

1004330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004330320 is an abundant number, since it is smaller than the sum of its proper divisors (1756385840).

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

1004330320 is a wasteful number, since it uses less digits than its factorization.

1004330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61892 (or 61886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1004330320 is about 31691.1710102356. The cubic root of 1004330320 is about 1001.4413614789.

Adding to 1004330320 its reverse (230334001), we get a palindrome (1234664321).

The spelling of 1004330320 in words is "one billion, four million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 61843 123686 247372 309215 432901 494744 618430 865802 989488 1236860 1731604 1793447 2164505 2473720 3463208 3586894 4329010 4947440 6926416 7173788 8658020 8967235 12554129 14347576 17316040 17934470 25108258 28695152 34632080 35868940 50216516 62770645 71737880 100433032 125541290 143475760 200866064 251082580 502165160 1004330320