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3213341000 = 23539673323
BaseRepresentation
bin1011111110000111…
…1011000101001000
322021221110122011122
42333201323011020
523040103403000
61250505014412
7142425643052
oct27741730510
98257418148
103213341000
1113a9935721
12758184408
133c296000c
14226a9c8d2
1513c186085
hexbf87b148

3213341000 has 64 divisors (see below), whose sum is σ = 7529258880. Its totient is φ = 1283620800.

The previous prime is 3213340987. The next prime is 3213341059. The reversal of 3213341000 is 1433123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3213341000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965339 + ... + 968661.

It is an arithmetic number, because the mean of its divisors is an integer number (117644670).

Almost surely, 23213341000 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 3213341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764629440).

3213341000 is an abundant number, since it is smaller than the sum of its proper divisors (4315917880).

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

3213341000 is a wasteful number, since it uses less digits than its factorization.

3213341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3213341000 is about 56686.3387422402. The cubic root of 3213341000 is about 1475.6576211518.

Adding to 3213341000 its reverse (1433123), we get a palindrome (3214774123).

The spelling of 3213341000 in words is "three billion, two hundred thirteen million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 967 1000 1934 3323 3868 4835 6646 7736 9670 13292 16615 19340 24175 26584 33230 38680 48350 66460 83075 96700 120875 132920 166150 193400 241750 332300 415375 483500 664600 830750 967000 1661500 3213341 3323000 6426682 12853364 16066705 25706728 32133410 64266820 80333525 128533640 160667050 321334100 401667625 642668200 803335250 1606670500 3213341000