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3202996464 = 2432373111933
BaseRepresentation
bin1011111011101001…
…1101100011110000
322021020000002010200
42332322131203300
523024431341324
61245455155200
7142242010053
oct27672354360
98236002120
103202996464
1113a400a718
12754815b00
133c077a6a5
14225568a9a
1513b2e0ec9
hexbee9d8f0

3202996464 has 120 divisors (see below), whose sum is σ = 9240590112. Its totient is φ = 1034933760.

The previous prime is 3202996441. The next prime is 3202996481. The reversal of 3202996464 is 4646992023.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1656042 + ... + 1657974.

It is a vampire number, since it can be written as 4639269042 (with its own digits).

Almost surely, 23202996464 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 3202996464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620295056).

3202996464 is an abundant number, since it is smaller than the sum of its proper divisors (6037593648).

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

3202996464 is a wasteful number, since it uses less digits than its factorization.

3202996464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3202996464 is about 56595.0215478358. The cubic root of 3202996464 is about 1474.0724171190.

The spelling of 3202996464 in words is "three billion, two hundred two million, nine hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 311 333 444 592 622 666 888 933 1244 1332 1776 1866 1933 2488 2664 2799 3732 3866 4976 5328 5598 5799 7464 7732 11196 11507 11598 14928 15464 17397 22392 23014 23196 30928 34521 34794 44784 46028 46392 69042 69588 71521 92056 92784 103563 138084 139176 143042 184112 207126 214563 276168 278352 286084 414252 429126 552336 572168 601163 643689 828504 858252 1144336 1202326 1287378 1657008 1716504 1803489 2404652 2574756 3433008 3606978 4809304 5149512 5410467 7213956 9618608 10299024 10820934 14427912 21641868 22243031 28855824 43283736 44486062 66729093 86567472 88972124 133458186 177944248 200187279 266916372 355888496 400374558 533832744 800749116 1067665488 1601498232 3202996464