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3234341000 = 2353112910139
BaseRepresentation
bin1100000011001000…
…0010000010001000
322100101222112202102
43000302002002020
523110442403000
61252535052532
7143102305412
oct30062020210
98311875672
103234341000
11140a7792a0
12763211148
133c7103657
142297a79b2
1513de333d5
hexc0c82088

3234341000 has 128 divisors (see below), whose sum is σ = 8541936000. Its totient is φ = 1135456000.

The previous prime is 3234340981. The next prime is 3234341003. The reversal of 3234341000 is 1434323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3234341003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313931 + ... + 324069.

It is an arithmetic number, because the mean of its divisors is an integer number (66733875).

Almost surely, 23234341000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270968000).

3234341000 is an abundant number, since it is smaller than the sum of its proper divisors (5307595000).

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

3234341000 is a wasteful number, since it uses less digits than its factorization.

3234341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3234341000 is about 56871.2669104531. The cubic root of 3234341000 is about 1478.8652429069.

Adding to 3234341000 its reverse (1434323), we get a palindrome (3235775323).

The spelling of 3234341000 in words is "three billion, two hundred thirty-four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 10139 11000 12760 14500 15950 20278 29000 31900 39875 40556 50695 63800 79750 81112 101390 111529 159500 202780 223058 253475 294031 319000 405560 446116 506950 557645 588062 892232 1013900 1115290 1176124 1267375 1470155 2027800 2230580 2352248 2534750 2788225 2940310 3234341 4461160 5069500 5576450 5880620 6468682 7350775 10139000 11152900 11761240 12937364 13941125 14701550 16171705 22305800 25874728 27882250 29403100 32343410 36753875 55764500 58806200 64686820 73507750 80858525 111529000 129373640 147015500 161717050 294031000 323434100 404292625 646868200 808585250 1617170500 3234341000