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3311820148 = 22713311272311
BaseRepresentation
bin1100010101100110…
…0101110101110100
322112210202220011111
43011121211311310
523240311221043
61304343444404
7145033002220
oct30531456564
98483686144
103311820148
11144a48854a
12785156704
1340a1904c0
14235bb5780
15145b3a09d
hexc5665d74

3311820148 has 96 divisors (see below), whose sum is σ = 7424442368. Its totient is φ = 1257379200.

The previous prime is 3311820143. The next prime is 3311820151. The reversal of 3311820148 is 8410281133.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311820143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1431913 + ... + 1434223.

Almost surely, 23311820148 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 3311820148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712221184).

3311820148 is an abundant number, since it is smaller than the sum of its proper divisors (4112622220).

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

3311820148 is a wasteful number, since it uses less digits than its factorization.

3311820148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 3311820148 is about 57548.4156862724. The cubic root of 3311820148 is about 1490.5810006911.

The spelling of 3311820148 in words is "three billion, three hundred eleven million, eight hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 127 182 217 254 364 403 434 508 806 868 889 1612 1651 1778 2311 2821 3302 3556 3937 4622 5642 6604 7874 9244 11284 11557 15748 16177 23114 27559 30043 32354 46228 51181 55118 60086 64708 71641 102362 110236 120172 143282 204724 210301 286564 293497 358267 420602 501487 586994 716534 841204 931333 1002974 1173988 1433068 1862666 2005948 2054479 3725332 3815461 4108958 6519331 7630922 8217916 9098407 13038662 15261844 18196814 26077324 26708227 36393628 53416454 63688849 106832908 118279291 127377698 236558582 254755396 473117164 827955037 1655910074 3311820148