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3213214404 = 22317101277563
BaseRepresentation
bin1011111110000101…
…1100001011000100
322021221020012111220
42333201130023010
523040040330104
61250502200340
7142424605011
oct27741341304
98257205456
103213214404
1113a98595a4
127581230b0
133c29174ca
14226a68708
1513c15d7d9
hexbf85c2c4

3213214404 has 96 divisors (see below), whose sum is σ = 8060363136. Its totient is φ = 992716800.

The previous prime is 3213214397. The next prime is 3213214423. The reversal of 3213214404 is 4044123123.

3213214404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5707027 + ... + 5707589.

It is an arithmetic number, because the mean of its divisors is an integer number (83962116).

Almost surely, 23213214404 is an apocalyptic number.

3213214404 is a gapful number since it is divisible by the number (34) 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 3213214404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030181568).

3213214404 is an abundant number, since it is smaller than the sum of its proper divisors (4847148732).

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

3213214404 is a wasteful number, since it uses less digits than its factorization.

3213214404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3213214404 is about 56685.2220953574. Note that the first 3 decimals coincide. The cubic root of 3213214404 is about 1475.6382420689.

Adding to 3213214404 its reverse (4044123123), we get a palindrome (7257337527).

The spelling of 3213214404 in words is "three billion, two hundred thirteen million, two hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 277 303 404 554 563 606 831 1108 1126 1212 1662 1689 1717 2252 3324 3378 3434 4709 5151 6756 6868 9418 9571 10302 14127 18836 19142 20604 27977 28254 28713 38284 55954 56508 56863 57426 83931 111908 113726 114852 155951 167862 170589 227452 311902 335724 341178 467853 475609 623804 682356 935706 951218 966671 1426827 1871412 1902436 1933342 2651167 2853654 2900013 3866684 5302334 5707308 5800026 7953501 10604668 11600052 15751051 15907002 31502102 31814004 47253153 63004204 94506306 189012612 267767867 535535734 803303601 1071071468 1606607202 3213214404