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3214318640 = 245134576763
BaseRepresentation
bin1011111110010110…
…1001110000110000
322022000022022020112
42333211221300300
523040331144030
61250542000452
7142440154241
oct27745516060
98260268215
103214318640
1113aa443195
12758576128
133c2c12cc0
14226c74cc8
1513c2caa95
hexbf969c30

3214318640 has 80 divisors (see below), whose sum is σ = 8066962848. Its totient is φ = 1184053248.

The previous prime is 3214318543. The next prime is 3214318661. The reversal of 3214318640 is 468134123.

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 = 3214318597 and 3214318606.

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, 471899 + ... + 478661.

Almost surely, 23214318640 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 3214318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033481424).

3214318640 is an abundant number, since it is smaller than the sum of its proper divisors (4852644208).

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

3214318640 is a wasteful number, since it uses less digits than its factorization.

3214318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3214318640 is about 56694.9613281463. The cubic root of 3214318640 is about 1475.8072593461.

The spelling of 3214318640 in words is "three billion, two hundred fourteen million, three hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 457 520 914 1040 1828 2285 3656 4570 5941 6763 7312 9140 11882 13526 18280 23764 27052 29705 33815 36560 47528 54104 59410 67630 87919 95056 108208 118820 135260 175838 237640 270520 351676 439595 475280 541040 703352 879190 1406704 1758380 3090691 3516760 6181382 7033520 12362764 15453455 24725528 30906910 40178983 49451056 61813820 80357966 123627640 160715932 200894915 247255280 321431864 401789830 642863728 803579660 1607159320 3214318640