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3283045504 = 27471274297
BaseRepresentation
bin1100001110101111…
…0100110010000000
322110210121222202221
43003223310302000
523210424424004
61301435020424
7144233266144
oct30353646200
98423558687
103283045504
111435214752
1277759a714
1340422719b
14232045224
15143354354
hexc3af4c80

3283045504 has 64 divisors (see below), whose sum is σ = 6733762560. Its totient is φ = 1593575424.

The previous prime is 3283045459. The next prime is 3283045523. The reversal of 3283045504 is 4055403823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×32830455042 = 21556775562669228032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3283045504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761884 + ... + 766180.

It is an arithmetic number, because the mean of its divisors is an integer number (105215040).

Almost surely, 23283045504 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 3283045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366881280).

3283045504 is an abundant number, since it is smaller than the sum of its proper divisors (3450717056).

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

3283045504 is a wasteful number, since it uses less digits than its factorization.

3283045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 3283045504 is about 57297.8664873309. The cubic root of 3283045504 is about 1486.2514822122.

The spelling of 3283045504 in words is "three billion, two hundred eighty-three million, forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 127 128 188 254 376 508 752 1016 1504 2032 3008 4064 4297 5969 6016 8128 8594 11938 16256 17188 23876 34376 47752 68752 95504 137504 191008 201959 275008 382016 403918 545719 550016 764032 807836 1091438 1615672 2182876 3231344 4365752 6462688 8731504 12925376 17463008 25648793 25850752 34926016 51297586 69852032 102595172 205190344 410380688 820761376 1641522752 3283045504