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3212420040 = 233352974463
BaseRepresentation
bin1011111101111001…
…1010001111001000
322021212201211212000
42333132122033020
523034334420130
61250433151000
7142415056044
oct27736321710
98255654760
103212420040
1113a93667a5
127579bb460
133c26c9a7b
142268dd024
1513c053260
hexbf79a3c8

3212420040 has 64 divisors (see below), whose sum is σ = 10708070400. Its totient is φ = 856645056.

The previous prime is 3212420027. The next prime is 3212420083. The reversal of 3212420040 is 400242123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3212419995 and 3212420022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486152 + ... + 1488311.

It is an arithmetic number, because the mean of its divisors is an integer number (167313600).

Almost surely, 23212420040 is an apocalyptic number.

3212420040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3212420040 is an abundant number, since it is smaller than the sum of its proper divisors (7495650360).

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

3212420040 is a wasteful number, since it uses less digits than its factorization.

3212420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974483 (or 2974473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3212420040 is about 56678.2148625025. The cubic root of 3212420040 is about 1475.5166306690.

Adding to 3212420040 its reverse (400242123), we get a palindrome (3612662163).

The spelling of 3212420040 in words is "three billion, two hundred twelve million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2974463 5948926 8923389 11897852 14872315 17846778 23795704 26770167 29744630 35693556 44616945 53540334 59489260 71387112 80310501 89233890 107080668 118978520 133850835 160621002 178467780 214161336 267701670 321242004 356935560 401552505 535403340 642484008 803105010 1070806680 1606210020 3212420040