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3344201400 = 2335219293351
BaseRepresentation
bin1100011101010100…
…0111011010111000
322122001201000220010
43013111013122320
523322103421100
61311501501520
7145605146211
oct30725073270
98561630803
103344201400
111466795011
12793b718a0
13413aba2c7
1423a204408
151488d4750
hexc75476b8

3344201400 has 96 divisors (see below), whose sum is σ = 10912694400. Its totient is φ = 844848000.

The previous prime is 3344201383. The next prime is 3344201401. The reversal of 3344201400 is 41024433.

It is a super-2 number, since 2×33442014002 = 22367366007523920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135276 + ... + 158075.

It is an arithmetic number, because the mean of its divisors is an integer number (113673900).

Almost surely, 23344201400 is an apocalyptic number.

3344201400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3344201400 is an abundant number, since it is smaller than the sum of its proper divisors (7568493000).

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

3344201400 is a wasteful number, since it uses less digits than its factorization.

3344201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293389 (or 293380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3344201400 is about 57829.0705441476. The cubic root of 3344201400 is about 1495.4232944911.

Adding to 3344201400 its reverse (41024433), we get a palindrome (3385225833).

The spelling of 3344201400 in words is "three billion, three hundred forty-four million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 293351 586702 880053 1173404 1466755 1760106 2346808 2933510 3520212 4400265 5573669 5867020 7040424 7333775 8800530 11147338 11734040 14667550 16721007 17601060 22001325 22294676 27868345 29335100 33442014 35202120 44002650 44589352 55736690 58670200 66884028 83605035 88005300 111473380 133768056 139341725 167210070 176010600 222946760 278683450 334420140 418025175 557366900 668840280 836050350 1114733800 1672100700 3344201400