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3483225216 = 27323023633
BaseRepresentation
bin1100111110011101…
…1100110010000000
322222202022011201100
43033213130302000
524113201201331
61333345334400
7152213632362
oct31747346200
98882264640
103483225216
11152820a729
12812637400
13436845213
14250872d32
15155be6ae6
hexcf9dcc80

3483225216 has 48 divisors (see below), whose sum is σ = 10023346710. Its totient is φ = 1161074688.

The previous prime is 3483225181. The next prime is 3483225241. The reversal of 3483225216 is 6125223843.

3483225216 is a `hidden beast` number, since 34 + 83 + 22 + 521 + 6 = 666.

3483225216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2714826816 + 768398400 = 52104^2 + 27720^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1510665 + ... + 1512968.

Almost surely, 23483225216 is an apocalyptic number.

3483225216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3483225216 is an abundant number, since it is smaller than the sum of its proper divisors (6540121494).

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

3483225216 is a wasteful number, since it uses less digits than its factorization.

3483225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023653 (or 3023638 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3483225216 is about 59018.8547499865. The cubic root of 3483225216 is about 1515.8649754546.

The spelling of 3483225216 in words is "three billion, four hundred eighty-three million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3023633 6047266 9070899 12094532 18141798 24189064 27212697 36283596 48378128 54425394 72567192 96756256 108850788 145134384 193512512 217701576 290268768 387025024 435403152 580537536 870806304 1161075072 1741612608 3483225216