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3274629216 = 2531710691877
BaseRepresentation
bin1100001100101110…
…1110000001100000
322110012210101210120
43003023232001200
523201301113331
61300534400240
7144101613645
oct30313560140
98405711716
103274629216
111430496441
12774800080
1340256b431
14230c93dcc
15142740796
hexc32ee060

3274629216 has 96 divisors (see below), whose sum is σ = 9114910560. Its totient is φ = 1025826816.

The previous prime is 3274629203. The next prime is 3274629257. The reversal of 3274629216 is 6129264723.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743670 + ... + 1745546.

It is an arithmetic number, because the mean of its divisors is an integer number (94946985).

Almost surely, 23274629216 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 3274629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557455280).

3274629216 is an abundant number, since it is smaller than the sum of its proper divisors (5840281344).

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

3274629216 is a wasteful number, since it uses less digits than its factorization.

3274629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2968 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 3274629216 is about 57224.3760647506. The cubic root of 3274629216 is about 1484.9803631953.

The spelling of 3274629216 in words is "three billion, two hundred seventy-four million, six hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1069 1632 1877 2138 3207 3754 4276 5631 6414 7508 8552 11262 12828 15016 17104 18173 22524 25656 30032 31909 34208 36346 45048 51312 54519 60064 63818 72692 90096 95727 102624 109038 127636 145384 180192 191454 218076 255272 290768 382908 436152 510544 581536 765816 872304 1021088 1531632 1744608 2006513 3063264 4013026 6019539 8026052 12039078 16052104 24078156 32104208 34110721 48156312 64208416 68221442 96312624 102332163 136442884 192625248 204664326 272885768 409328652 545771536 818657304 1091543072 1637314608 3274629216