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1400344200 = 23345286441
BaseRepresentation
bin101001101110111…
…1000111010001000
310121120222212010000
41103131320322020
510331442003300
6350542123000
746462505103
oct12335707210
93546885100
101400344200
11659504362
12330b80460
1319416c348
14d3da173a
1582e11c00
hex53778e88

1400344200 has 120 divisors (see below), whose sum is σ = 4863659130. Its totient is φ = 373420800.

The previous prime is 1400344193. The next prime is 1400344207. The reversal of 1400344200 is 24430041.

1400344200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1400344193) and next prime (1400344207).

It can be written as a sum of positive squares in 3 ways, for example, as 1074397284 + 325946916 = 32778^2 + 18054^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1400344207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27021 + ... + 59420.

Almost surely, 21400344200 is an apocalyptic number.

1400344200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400344200 is an abundant number, since it is smaller than the sum of its proper divisors (3463314930).

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

1400344200 is a wasteful number, since it uses less digits than its factorization.

1400344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86469 (or 86451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1400344200 is about 37421.1731510384. The cubic root of 1400344200 is about 1118.7806137914.

Adding to 1400344200 its reverse (24430041), we get a palindrome (1424774241).

The spelling of 1400344200 in words is "one billion, four hundred million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 86441 172882 259323 345764 432205 518646 691528 777969 864410 1037292 1296615 1555938 1728820 2074584 2161025 2333907 2593230 3111876 3457640 3889845 4322050 4667814 5186460 6223752 6483075 7001721 7779690 8644100 9335628 10372920 11669535 12966150 14003442 15559380 17288200 18671256 19449225 23339070 25932300 28006884 31118760 35008605 38898450 46678140 51864600 56013768 58347675 70017210 77796900 93356280 116695350 140034420 155593800 175043025 233390700 280068840 350086050 466781400 700172100 1400344200