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3213012040 = 235759919157
BaseRepresentation
bin1011111110000010…
…1010110001001000
322021220211220220221
42333200222301020
523040012341130
61250453555424
7142423103020
oct27740526110
98256756827
103213012040
1113a9730557
12758045b74
133c2876374
14226a14a80
1513c11d87a
hexbf82ac48

3213012040 has 64 divisors (see below), whose sum is σ = 8276256000. Its totient is φ = 1099707648.

The previous prime is 3213012037. The next prime is 3213012041. The reversal of 3213012040 is 402103123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3213012041) 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, 158142 + ... + 177298.

It is an arithmetic number, because the mean of its divisors is an integer number (129316500).

Almost surely, 23213012040 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 3213012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138128000).

3213012040 is an abundant number, since it is smaller than the sum of its proper divisors (5063243960).

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

3213012040 is a wasteful number, since it uses less digits than its factorization.

3213012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19774 (or 19770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3213012040 is about 56683.4370870363. The cubic root of 3213012040 is about 1475.6072635026.

Adding to 3213012040 its reverse (402103123), we get a palindrome (3615115163).

The spelling of 3213012040 in words is "three billion, two hundred thirteen million, twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 599 1198 2396 2995 4193 4792 5990 8386 11980 16772 19157 20965 23960 33544 38314 41930 76628 83860 95785 134099 153256 167720 191570 268198 383140 536396 670495 766280 1072792 1340990 2681980 5363960 11475043 22950086 45900172 57375215 80325301 91800344 114750430 160650602 229500860 321301204 401626505 459001720 642602408 803253010 1606506020 3213012040