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3433442000 = 24538919289
BaseRepresentation
bin1100110010100110…
…0010101011010000
322212021121220222112
43030221202223100
524012430121000
61324410324452
7151040526662
oct31451425320
98767556875
103433442000
1115020a787a
127b9a29728
134294346b1
14247dd4532
15151661235
hexcca62ad0

3433442000 has 80 divisors (see below), whose sum is σ = 8395779600. Its totient is φ = 1357875200.

The previous prime is 3433441937. The next prime is 3433442021. The reversal of 3433442000 is 2443343.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1326999184 + 2106442816 = 36428^2 + 45896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168356 + ... + 187644.

It is an arithmetic number, because the mean of its divisors is an integer number (104947245).

Almost surely, 23433442000 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 3433442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197889800).

3433442000 is an abundant number, since it is smaller than the sum of its proper divisors (4962337600).

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

3433442000 is a wasteful number, since it uses less digits than its factorization.

3433442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19401 (or 19385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3433442000 is about 58595.5800380882. The cubic root of 3433442000 is about 1508.6085745245.

Adding to 3433442000 its reverse (2443343), we get a palindrome (3435885343).

The spelling of 3433442000 in words is "three billion, four hundred thirty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 712 890 1000 1424 1780 2000 2225 3560 4450 7120 8900 11125 17800 19289 22250 35600 38578 44500 77156 89000 96445 154312 178000 192890 308624 385780 482225 771560 964450 1543120 1716721 1928900 2411125 3433442 3857800 4822250 6866884 7715600 8583605 9644500 13733768 17167210 19289000 27467536 34334420 38578000 42918025 68668840 85836050 137337680 171672100 214590125 343344200 429180250 686688400 858360500 1716721000 3433442000