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1354023300 = 223527797809
BaseRepresentation
bin101000010110100…
…1100000110000100
310111100211111210010
41100231030012010
510233112221200
6342205230220
745361002540
oct12055140604
93440744703
101354023300
11635346823
12319562370
131876a1726
14cbb84a20
157dd12150
hex50b4c184

1354023300 has 144 divisors (see below), whose sum is σ = 4488462720. Its totient is φ = 308720640.

The previous prime is 1354023101. The next prime is 1354023331. The reversal of 1354023300 is 33204531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673296 + ... + 1674104.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 21354023300 is an apocalyptic number.

1354023300 is a gapful number since it is divisible by the number (10) 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 1354023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

1354023300 is an abundant number, since it is smaller than the sum of its proper divisors (3134439420).

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

1354023300 is a wasteful number, since it uses less digits than its factorization.

1354023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1354023300 is about 36797.0555887288. The cubic root of 1354023300 is about 1106.3062839632.

Adding to 1354023300 its reverse (33204531), we get a palindrome (1387227831).

The spelling of 1354023300 in words is "one billion, three hundred fifty-four million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 797 809 1050 1594 1618 2100 2391 2427 3188 3236 3985 4045 4782 4854 5579 5663 7970 8090 9564 9708 11158 11326 11955 12135 15940 16180 16737 16989 19925 20225 22316 22652 23910 24270 27895 28315 33474 33978 39850 40450 47820 48540 55790 56630 59775 60675 66948 67956 79700 80900 83685 84945 111580 113260 119550 121350 139475 141575 167370 169890 239100 242700 278950 283150 334740 339780 418425 424725 557900 566300 644773 836850 849450 1289546 1673700 1698900 1934319 2579092 3223865 3868638 4513411 6447730 7737276 9026822 9671595 12895460 13540233 16119325 18053644 19343190 22567055 27080466 32238650 38686380 45134110 48357975 54160932 64477300 67701165 90268220 96715950 112835275 135402330 193431900 225670550 270804660 338505825 451341100 677011650 1354023300