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3142363620 = 2235115878111
BaseRepresentation
bin1011101101001100…
…1010100111100100
322002222220121111210
42323103022213210
522413421113440
61235451431420
7140604435654
oct27323124744
98088817453
103142363620
111372867330
12738455570
133b103b676
1421b4a4364
15135d15a80
hexbb4ca9e4

3142363620 has 96 divisors (see below), whose sum is σ = 9616029696. Its totient is φ = 760393600.

The previous prime is 3142363613. The next prime is 3142363633. The reversal of 3142363620 is 263632413.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 383365 + ... + 391475.

It is an arithmetic number, because the mean of its divisors is an integer number (100166976).

Almost surely, 23142363620 is an apocalyptic number.

3142363620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142363620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808014848).

3142363620 is an abundant number, since it is smaller than the sum of its proper divisors (6473666076).

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

3142363620 is a wasteful number, since it uses less digits than its factorization.

3142363620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3142363620 is about 56056.7892409118. The cubic root of 3142363620 is about 1464.7116844204.

The spelling of 3142363620 in words is "three billion, one hundred forty-two million, three hundred sixty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 587 660 1174 1761 2348 2935 3522 5870 6457 7044 8111 8805 11740 12914 16222 17610 19371 24333 25828 32285 32444 35220 38742 40555 48666 64570 77484 81110 89221 96855 97332 121665 129140 162220 178442 193710 243330 267663 356884 387420 446105 486660 535326 892210 1070652 1338315 1784420 2676630 4761157 5353260 9522314 14283471 19044628 23805785 28566942 47611570 52372727 57133884 71417355 95223140 104745454 142834710 157118181 209490908 261863635 285669420 314236362 523727270 628472724 785590905 1047454540 1571181810 3142363620