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3214665344 = 27115574099
BaseRepresentation
bin1011111110011011…
…1110011010000000
322022000221220211102
42333212332122000
523040423242334
61250553233532
7142443130112
oct27746763200
98260856742
103214665344
1113aa65a720
127587028a8
133c3004a57
14226d253b2
1513c34867e
hexbf9be680

3214665344 has 64 divisors (see below), whose sum is σ = 7000668000. Its totient is φ = 1458232320.

The previous prime is 3214665317. The next prime is 3214665361. The reversal of 3214665344 is 4435664123.

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

It is a junction number, because it is equal to n+sod(n) for n = 3214665298 and 3214665307.

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, 782207 + ... + 786305.

Almost surely, 23214665344 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 3214665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500334000).

3214665344 is an abundant number, since it is smaller than the sum of its proper divisors (3786002656).

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

3214665344 is a wasteful number, since it uses less digits than its factorization.

3214665344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4669 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 3214665344 is about 56698.0188719147. The cubic root of 3214665344 is about 1475.8603187906.

The spelling of 3214665344 in words is "three billion, two hundred fourteen million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 557 704 1114 1408 2228 4099 4456 6127 8198 8912 12254 16396 17824 24508 32792 35648 45089 49016 65584 71296 90178 98032 131168 180356 196064 262336 360712 392128 524672 721424 784256 1442848 2283143 2885696 4566286 5771392 9132572 18265144 25114573 36530288 50229146 73060576 100458292 146121152 200916584 292242304 401833168 803666336 1607332672 3214665344