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3432020000 = 25541571093
BaseRepresentation
bin1100110010010000…
…0111100000100000
322212011221200100212
43030210013200200
524012044120000
61324320033252
7151022455133
oct31444074040
98764850325
103432020000
111501316472
127b9462828
13429057386
14247b4421a
1515147ec35
hexcc907820

3432020000 has 120 divisors (see below), whose sum is σ = 8504836956. Its totient is φ = 1362816000.

The previous prime is 3432019999. The next prime is 3432020021. The reversal of 3432020000 is 202343.

It can be written as a sum of positive squares in 10 ways, for example, as 11641744 + 3420378256 = 3412^2 + 58484^2 .

It is a super-2 number, since 2×34320200002 = 23557522560800000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3139454 + ... + 3140546.

Almost surely, 23432020000 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 3432020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252418478).

3432020000 is an abundant number, since it is smaller than the sum of its proper divisors (5072816956).

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

3432020000 is a wasteful number, since it uses less digits than its factorization.

3432020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1257 counting only the distinct ones).

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

The square root of 3432020000 is about 58583.4447604441. Note that the first 3 decimals coincide. The cubic root of 3432020000 is about 1508.4002764940.

Adding to 3432020000 its reverse (202343), we get a palindrome (3432222343).

The spelling of 3432020000 in words is "three billion, four hundred thirty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 625 628 785 800 1000 1093 1250 1256 1570 2000 2186 2500 2512 3140 3925 4000 4372 5000 5024 5465 6280 7850 8744 10000 10930 12560 15700 17488 19625 20000 21860 25120 27325 31400 34976 39250 43720 54650 62800 78500 87440 98125 109300 125600 136625 157000 171601 174880 196250 218600 273250 314000 343202 392500 437200 546500 628000 683125 686404 785000 858005 874400 1093000 1366250 1372808 1570000 1716010 2186000 2732500 2745616 3140000 3432020 4290025 4372000 5465000 5491232 6864040 8580050 10930000 13728080 17160100 21450125 21860000 27456160 34320200 42900250 68640400 85800500 107250625 137280800 171601000 214501250 343202000 429002500 686404000 858005000 1716010000 3432020000