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3214065040 = 245672512389
BaseRepresentation
bin1011111110010010…
…1011110110010000
322021222211102100221
42333210223312100
523040300040130
61250532322424
7142435050004
oct27744536620
98258742327
103214065040
1113aa28a6aa
12758473414
133c2b54744
14226c0a704
1513c27a87a
hexbf92bd90

3214065040 has 80 divisors (see below), whose sum is σ = 7617637440. Its totient is φ = 1260864000.

The previous prime is 3214065017. The next prime is 3214065053. The reversal of 3214065040 is 405604123.

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

It is a junction number, because it is equal to n+sod(n) for n = 3214064996 and 3214065014.

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, 1344166 + ... + 1346554.

It is an arithmetic number, because the mean of its divisors is an integer number (95220468).

Almost surely, 23214065040 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 3214065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808818720).

3214065040 is an abundant number, since it is smaller than the sum of its proper divisors (4403572400).

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

3214065040 is a wasteful number, since it uses less digits than its factorization.

3214065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3214065040 is about 56692.7247537107. The cubic root of 3214065040 is about 1475.7684460852.

Adding to 3214065040 its reverse (405604123), we get a palindrome (3619669163).

The spelling of 3214065040 in words is "three billion, two hundred fourteen million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 251 268 335 502 536 670 1004 1072 1255 1340 2008 2389 2510 2680 4016 4778 5020 5360 9556 10040 11945 16817 19112 20080 23890 33634 38224 47780 67268 84085 95560 134536 160063 168170 191120 269072 320126 336340 599639 640252 672680 800315 1199278 1280504 1345360 1600630 2398556 2561008 2998195 3201260 4797112 5996390 6402520 9594224 11992780 12805040 23985560 40175813 47971120 80351626 160703252 200879065 321406504 401758130 642813008 803516260 1607032520 3214065040