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2329000 = 235317137
BaseRepresentation
bin1000111000100110101000
311101022210021
420320212220
51044012000
6121530224
725540042
oct10704650
94338707
102329000
1113508a3
12943974
1363710b
14448a92
1531011a
hex2389a8

2329000 has 64 divisors (see below), whose sum is σ = 5812560. Its totient is φ = 870400.

The previous prime is 2328973. The next prime is 2329027. The reversal of 2329000 is 9232.

It is an interprime number because it is at equal distance from previous prime (2328973) and next prime (2329027).

It can be written as a sum of positive squares in 8 ways, for example, as 306916 + 2022084 = 554^2 + 1422^2 .

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, 16932 + ... + 17068.

22329000 is an apocalyptic number.

2329000 is a gapful number since it is divisible by the number (20) 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 2329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906280).

2329000 is an abundant number, since it is smaller than the sum of its proper divisors (3483560).

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

2329000 is a wasteful number, since it uses less digits than its factorization.

2329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2329000 is about 1526.1061562028. The cubic root of 2329000 is about 132.5530818525.

The spelling of 2329000 in words is "two million, three hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 137 170 200 250 274 340 425 500 548 680 685 850 1000 1096 1370 1700 2125 2329 2740 3400 3425 4250 4658 5480 6850 8500 9316 11645 13700 17000 17125 18632 23290 27400 34250 46580 58225 68500 93160 116450 137000 232900 291125 465800 582250 1164500 2329000