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3321214016 = 26314735617
BaseRepresentation
bin1100010111110101…
…1011010001000000
322120110110011010112
43011331123101000
523300212322031
61305321050452
7145205565461
oct30575332100
98513404115
103321214016
11145481427a
12788326a28
1340c0cc1c3
1423713cd68
1514689362b
hexc5f5b440

3321214016 has 56 divisors (see below), whose sum is σ = 6948074496. Its totient is φ = 1572802560.

The previous prime is 3321213967. The next prime is 3321214021. The reversal of 3321214016 is 6104121233.

It is a super-2 number, since 2×33212140162 = 22060925080149696512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321213982 and 3321214000.

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, 75440 + ... + 111056.

Almost surely, 23321214016 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 3321214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474037248).

3321214016 is an abundant number, since it is smaller than the sum of its proper divisors (3626860480).

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

3321214016 is a wasteful number, since it uses less digits than its factorization.

3321214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35707 (or 35697 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3321214016 is about 57629.9749783045. The cubic root of 3321214016 is about 1491.9889981388.

Adding to 3321214016 its reverse (6104121233), we get a palindrome (9425335249).

The spelling of 3321214016 in words is "three billion, three hundred twenty-one million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 188 248 376 496 752 992 1457 1504 1984 2914 3008 5828 11656 23312 35617 46624 71234 93248 142468 284936 569872 1104127 1139744 1673999 2208254 2279488 3347998 4416508 6695996 8833016 13391992 17666032 26783984 35332064 51893969 53567968 70664128 103787938 107135936 207575876 415151752 830303504 1660607008 3321214016