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3342244032 = 26341494327
BaseRepresentation
bin1100011100110110…
…1001100011000000
322121221000120220000
43013031221203000
523321103302112
61311351520000
7145552414461
oct30715514300
98557016800
103342244032
111465678456
12793389000
134135833ba
14239c54d68
151486497dc
hexc73698c0

3342244032 has 140 divisors (see below), whose sum is σ = 9976256400. Its totient is φ = 1106348544.

The previous prime is 3342244021. The next prime is 3342244033. The reversal of 3342244032 is 2304422433.

3342244032 is a `hidden beast` number, since 3 + 34 + 224 + 403 + 2 = 666.

It is a super-2 number, since 2×33422440322 = 22341190338879234048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3342243987 and 3342244005.

It is not an unprimeable number, because it can be changed into a prime (3342244033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 770253 + ... + 774579.

Almost surely, 23342244032 is an apocalyptic number.

3342244032 is a gapful number since it is divisible by the number (32) 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 3342244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988128200).

3342244032 is an abundant number, since it is smaller than the sum of its proper divisors (6634012368).

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

3342244032 is a wasteful number, since it uses less digits than its factorization.

3342244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3342244032 is about 57812.1443297167. The cubic root of 3342244032 is about 1495.1314794340.

Adding to 3342244032 its reverse (2304422433), we get a palindrome (5646666465).

The spelling of 3342244032 in words is "three billion, three hundred forty-two million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 149 162 192 216 288 298 324 432 447 576 596 648 864 894 1192 1296 1341 1728 1788 2384 2592 2682 3576 4023 4327 4768 5184 5364 7152 8046 8654 9536 10728 12069 12981 14304 16092 17308 21456 24138 25962 28608 32184 34616 38943 42912 48276 51924 64368 69232 77886 85824 96552 103848 116829 128736 138464 155772 193104 207696 233658 257472 276928 311544 350487 386208 415392 467316 623088 644723 700974 772416 830784 934632 1246176 1289446 1401948 1869264 1934169 2492352 2578892 2803896 3738528 3868338 5157784 5607792 5802507 7477056 7736676 10315568 11215584 11605014 15473352 17407521 20631136 22431168 23210028 30946704 34815042 41262272 46420056 52222563 61893408 69630084 92840112 104445126 123786816 139260168 185680224 208890252 278520336 371360448 417780504 557040672 835561008 1114081344 1671122016 3342244032