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3214432144 = 247211419091
BaseRepresentation
bin1011111110011000…
…0101011110010000
322022000112001221101
42333212011132100
523040343312034
61250544234144
7142441136200
oct27746053620
98260461841
103214432144
1113aa5104a0
1275860b954
133c2c52871
14226ca4400
1513c2ee514
hexbf985790

3214432144 has 120 divisors (see below), whose sum is σ = 8097044256. Its totient is φ = 1221696000.

The previous prime is 3214432121. The next prime is 3214432189. The reversal of 3214432144 is 4412344123.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 349039 + ... + 358129.

Almost surely, 23214432144 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 3214432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048522128).

3214432144 is an abundant number, since it is smaller than the sum of its proper divisors (4882612112).

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

3214432144 is a wasteful number, since it uses less digits than its factorization.

3214432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165 (or 9152 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3214432144 is about 56695.9623253720. The cubic root of 3214432144 is about 1475.8246303739.

Adding to 3214432144 its reverse (4412344123), we get a palindrome (7626776267).

The spelling of 3214432144 in words is "three billion, two hundred fourteen million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 49 56 77 82 88 98 112 154 164 176 196 287 308 328 392 451 539 574 616 656 784 902 1078 1148 1232 1804 2009 2156 2296 3157 3608 4018 4312 4592 6314 7216 8036 8624 9091 12628 16072 18182 22099 25256 32144 36364 44198 50512 63637 72728 88396 100001 127274 145456 176792 200002 254548 353584 372731 400004 445459 509096 700007 745462 800008 890918 1018192 1400014 1490924 1600016 1781836 2609117 2800028 2981848 3563672 4100041 4900049 5218234 5600056 5963696 7127344 8200082 9800098 10436468 11200112 16400164 18263819 19600196 20872936 28700287 32800328 36527638 39200392 41745872 57400574 65600656 73055276 78400784 114801148 146110552 200902009 229602296 292221104 401804018 459204592 803608036 1607216072 3214432144