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3465216 = 2133247
BaseRepresentation
bin1101001110000000000000
320112001101100
431032000000
51341341331
6202134400
741311446
oct15160000
96461340
103465216
111a57517
1211b1400
13944331
14662b96
15486ae6
hex34e000

3465216 has 84 divisors (see below), whose sum is σ = 10222992. Its totient is φ = 1130496.

The previous prime is 3465199. The next prime is 3465233. The reversal of 3465216 is 6125643.

3465216 is a `hidden beast` number, since 3 + 4 + 652 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3465199) and next prime (3465233).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3465216.

It is a congruent number.

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, 73705 + ... + 73751.

Almost surely, 23465216 is an apocalyptic number.

3465216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111496).

3465216 is an abundant number, since it is smaller than the sum of its proper divisors (6757776).

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

3465216 is an equidigital number, since it uses as much as digits as its factorization.

3465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3465216 is about 1861.5090652479. The cubic root of 3465216 is about 151.3247982835.

The spelling of 3465216 in words is "three million, four hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1024 1128 1152 1504 1536 1692 2048 2256 2304 3008 3072 3384 4096 4512 4608 6016 6144 6768 8192 9024 9216 12032 12288 13536 18048 18432 24064 24576 27072 36096 36864 48128 54144 72192 73728 96256 108288 144384 192512 216576 288768 385024 433152 577536 866304 1155072 1732608 3465216