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2034453100 = 22521011571283
BaseRepresentation
bin111100101000011…
…0100101001101100
312020210011220222211
41321100310221230
513131304444400
6533513220204
7101262365101
oct17120645154
95223156884
102034453100
119544397a9
12489401664
1326564b204
141542a6aa8
15bd91adba
hex79434a6c

2034453100 has 72 divisors (see below), whose sum is σ = 4490368848. Its totient is φ = 799968000.

The previous prime is 2034453077. The next prime is 2034453107. The reversal of 2034453100 is 13544302.

It is a super-2 number, since 2×20344531002 = 8277998832199220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2034453107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585059 + ... + 1586341.

It is an arithmetic number, because the mean of its divisors is an integer number (62366234).

Almost surely, 22034453100 is an apocalyptic number.

2034453100 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 2034453100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245184424).

2034453100 is an abundant number, since it is smaller than the sum of its proper divisors (2455915748).

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

2034453100 is a wasteful number, since it uses less digits than its factorization.

2034453100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2034453100 is about 45104.9121493436. The cubic root of 2034453100 is about 1267.1145976584.

Adding to 2034453100 its reverse (13544302), we get a palindrome (2047997402).

The spelling of 2034453100 in words is "two billion, thirty-four million, four hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 157 202 314 404 505 628 785 1010 1283 1570 2020 2525 2566 3140 3925 5050 5132 6415 7850 10100 12830 15700 15857 25660 31714 32075 63428 64150 79285 128300 129583 158570 201431 259166 317140 396425 402862 518332 647915 792850 805724 1007155 1295830 1585700 2014310 2591660 3239575 4028620 5035775 6479150 10071550 12958300 20143100 20344531 40689062 81378124 101722655 203445310 406890620 508613275 1017226550 2034453100