Search a number
-
+
3216003216 = 243671019901
BaseRepresentation
bin1011111110110000…
…0101000010010000
322022010110220001020
42333230011002100
523041244100331
61251042035440
7142460401446
oct27754050220
98263426036
103216003216
1114003938a8
12759048b80
133c33829aa
14227192b96
1513c50ec96
hexbfb05090

3216003216 has 80 divisors (see below), whose sum is σ = 8516353728. Its totient is φ = 1045440000.

The previous prime is 3216003181. The next prime is 3216003257. The reversal of 3216003216 is 6123006123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 319866 + ... + 329766.

Almost surely, 23216003216 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 3216003216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258176864).

3216003216 is an abundant number, since it is smaller than the sum of its proper divisors (5300350512).

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

3216003216 is a wasteful number, since it uses less digits than its factorization.

3216003216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3216003216 is about 56709.8158699180. The cubic root of 3216003216 is about 1476.0650304410.

Adding to 3216003216 its reverse (6123006123), we get a palindrome (9339009339).

It can be divided in two parts, 321600 and 3216, that multiplied together give a square (1034265600 = 321602).

The spelling of 3216003216 in words is "three billion, two hundred sixteen million, three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 101 134 201 202 268 303 402 404 536 606 804 808 1072 1212 1608 1616 2424 3216 4848 6767 9901 13534 19802 20301 27068 29703 39604 40602 54136 59406 79208 81204 108272 118812 158416 162408 237624 324816 475248 663367 1000001 1326734 1990101 2000002 2653468 3000003 3980202 4000004 5306936 6000006 7960404 8000008 10613872 12000012 15920808 16000016 24000024 31841616 48000048 67000067 134000134 201000201 268000268 402000402 536000536 804000804 1072001072 1608001608 3216003216