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3432969216 = 2103441389
BaseRepresentation
bin1100110010011110…
…1111010000000000
322212020201220110000
43030213233100000
524012320003331
61324352240000
7151033520415
oct31447572000
98766656400
103432969216
111501904646
127b9840000
134292ca441
14247d1010c
151515bb0e6
hexcc9ef400

3432969216 has 110 divisors (see below), whose sum is σ = 10251764930. Its totient is φ = 1144295424.

The previous prime is 3432969181. The next prime is 3432969217. The reversal of 3432969216 is 6129692343.

3432969216 is a `hidden beast` number, since 343 + 2 + 96 + 9 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3153945600 + 279023616 = 56160^2 + 16704^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432969217) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62250 + ... + 103638.

It is an arithmetic number, because the mean of its divisors is an integer number (93197863).

Almost surely, 23432969216 is an apocalyptic number.

3432969216 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 3432969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125882465).

3432969216 is an abundant number, since it is smaller than the sum of its proper divisors (6818795714).

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

3432969216 is an equidigital number, since it uses as much as digits as its factorization.

3432969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41421 (or 41394 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3432969216 is about 58591.5456017334. The cubic root of 3432969216 is about 1508.5393263535.

The spelling of 3432969216 in words is "three billion, four hundred thirty-two million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41389 41472 82778 82944 124167 165556 248334 331112 372501 496668 662224 745002 993336 1117503 1324448 1490004 1986672 2235006 2648896 2980008 3352509 3973344 4470012 5297792 5960016 6705018 7946688 8940024 10595584 11920032 13410036 15893376 17880048 21191168 23840064 26820072 31786752 35760096 42382336 47680128 53640144 63573504 71520192 95360256 107280288 127147008 143040384 190720512 214560576 286080768 381441024 429121152 572161536 858242304 1144323072 1716484608 3432969216