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3214444128 = 25374783399
BaseRepresentation
bin1011111110011000…
…1000011001100000
322022000112200101020
42333212020121200
523040344203003
61250544405440
7142441216140
oct27746103140
98260480336
103214444128
1113aa5194a5
12758616880
133c2c5815c
14226ca8920
1513c302d53
hexbf988660

3214444128 has 48 divisors (see below), whose sum is σ = 9643334400. Its totient is φ = 918412416.

The previous prime is 3214444127. The next prime is 3214444139. The reversal of 3214444128 is 8214444123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214444127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2391028 + ... + 2392371.

It is an arithmetic number, because the mean of its divisors is an integer number (200902800).

Almost surely, 23214444128 is an apocalyptic number.

It is an amenable number.

3214444128 is an abundant number, since it is smaller than the sum of its proper divisors (6428890272).

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

3214444128 is a wasteful number, since it uses less digits than its factorization.

3214444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783419 (or 4783411 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 3214444128 is about 56696.0680118119. The cubic root of 3214444128 is about 1475.8264644211.

The spelling of 3214444128 in words is "three billion, two hundred fourteen million, four hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4783399 9566798 14350197 19133596 28700394 33483793 38267192 57400788 66967586 76534384 100451379 114801576 133935172 153068768 200902758 229603152 267870344 401805516 459206304 535740688 803611032 1071481376 1607222064 3214444128