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2034302000 = 24537011451
BaseRepresentation
bin111100101000000…
…1111110000110000
312020202220020201112
41321100033300300
513131240131000
6533510052452
7101261165423
oct17120176060
95222806645
102034302000
11954346225
1248934a128
132655c74c3
141542679ba
15bd8db235
hex7940fc30

2034302000 has 80 divisors (see below), whose sum is σ = 4929354144. Its totient is φ = 812000000.

The previous prime is 2034301979. The next prime is 2034302003. The reversal of 2034302000 is 2034302.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2034302003) 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, 1401275 + ... + 1402725.

Almost surely, 22034302000 is an apocalyptic number.

2034302000 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 2034302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464677072).

2034302000 is an abundant number, since it is smaller than the sum of its proper divisors (2895052144).

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

2034302000 is a wasteful number, since it uses less digits than its factorization.

2034302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2034302000 is about 45103.2371343787. The cubic root of 2034302000 is about 1267.0832271055.

Adding to 2034302000 its reverse (2034302), we get a palindrome (2036336302).

2034302000 divided by its reverse (2034302) gives a cube (1000 = 103).

The spelling of 2034302000 in words is "two billion, thirty-four million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 701 1000 1402 1451 2000 2804 2902 3505 5608 5804 7010 7255 11216 11608 14020 14510 17525 23216 28040 29020 35050 36275 56080 58040 70100 72550 87625 116080 140200 145100 175250 181375 280400 290200 350500 362750 580400 701000 725500 1017151 1402000 1451000 2034302 2902000 4068604 5085755 8137208 10171510 16274416 20343020 25428775 40686040 50857550 81372080 101715100 127143875 203430200 254287750 406860400 508575500 1017151000 2034302000