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3212134002 = 233711270229
BaseRepresentation
bin1011111101110101…
…0100011001110010
322021212012022111000
42333131110121302
523034301242002
61250423102430
7142412455110
oct27735243162
98255168430
103212134002
1113a9190900
127578a1a16
133c262980c
14226866ab0
1513bee861c
hexbf754672

3212134002 has 96 divisors (see below), whose sum is σ = 8966966400. Its totient is φ = 834308640.

The previous prime is 3212133959. The next prime is 3212134043. The reversal of 3212134002 is 2004312123.

3212134002 is a `hidden beast` number, since 321 + 2 + 1 + 340 + 0 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 10624 + ... + 80852.

It is an arithmetic number, because the mean of its divisors is an integer number (93405900).

Almost surely, 23212134002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212134002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483483200).

3212134002 is an abundant number, since it is smaller than the sum of its proper divisors (5754832398).

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

3212134002 is a wasteful number, since it uses less digits than its factorization.

3212134002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70269 (or 70252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3212134002 is about 56675.6914558614. The cubic root of 3212134002 is about 1475.4728354047.

Adding to 3212134002 its reverse (2004312123), we get a palindrome (5216446125).

The spelling of 3212134002 in words is "three billion, two hundred twelve million, one hundred thirty-four thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1386 1694 2079 2178 2541 3267 4158 5082 6534 7623 15246 22869 45738 70229 140458 210687 421374 491603 632061 772519 983206 1264122 1474809 1545038 1896183 2317557 2949618 3792366 4424427 4635114 5407633 6952671 8497709 8848854 10815266 13273281 13905342 16222899 16995418 20858013 25493127 26546562 32445798 41716026 48668697 50986254 59483963 76479381 97337394 118967926 146006091 152958762 178451889 229438143 292012182 356903778 458876286 535355667 1070711334 1606067001 3212134002