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2031234000 = 24353437873
BaseRepresentation
bin111100100010010…
…0010101111010000
312020120010101012220
41321010202233100
513124443442000
6533320221040
7101223130005
oct17104425720
95216111186
102031234000
11952640194
1248830a780
13264a91c13
14153aa98ac
15bd4d21a0
hex79122bd0

2031234000 has 160 divisors (see below), whose sum is σ = 6701844864. Its totient is φ = 528998400.

The previous prime is 2031233999. The next prime is 2031234041. The reversal of 2031234000 is 4321302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254064 + ... + 261936.

Almost surely, 22031234000 is an apocalyptic number.

2031234000 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 2031234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350922432).

2031234000 is an abundant number, since it is smaller than the sum of its proper divisors (4670610864).

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

2031234000 is a wasteful number, since it uses less digits than its factorization.

2031234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2031234000 is about 45069.2134388875. The cubic root of 2031234000 is about 1266.4459295254.

Adding to 2031234000 its reverse (4321302), we get a palindrome (2035555302).

The spelling of 2031234000 in words is "two billion, thirty-one million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 7873 8600 10320 10750 12900 15746 16125 17200 21500 23619 25800 31492 32250 39365 43000 47238 51600 62984 64500 78730 86000 94476 118095 125968 129000 157460 188952 196825 236190 258000 314920 338539 377904 393650 472380 590475 629840 677078 787300 944760 984125 1015617 1180950 1354156 1574600 1692695 1889520 1968250 2031234 2361900 2708312 2952375 3149200 3385390 3936500 4062468 4723800 5078085 5416624 5904750 6770780 7873000 8124936 8463475 9447600 10156170 11809500 13541560 15746000 16249872 16926950 20312340 23619000 25390425 27083120 33853900 40624680 42317375 47238000 50780850 67707800 81249360 84634750 101561700 126952125 135415600 169269500 203123400 253904250 338539000 406246800 507808500 677078000 1015617000 2031234000