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1354350200 = 2352721131223
BaseRepresentation
bin101000010111001…
…1011111001111000
310111101110010012112
41100232123321320
510233203201300
6342220231452
745363533600
oct12056337170
93441403175
101354350200
1163554a395
1231969b588
13187787468
14cbc2bc00
157dd78e35
hex50b9be78

1354350200 has 144 divisors (see below), whose sum is σ = 3698401680. Its totient is φ = 459863040.

The previous prime is 1354350161. The next prime is 1354350209. The reversal of 1354350200 is 20534531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354350209) 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 35 ways as a sum of consecutive naturals, for example, 1106789 + ... + 1108011.

It is an arithmetic number, because the mean of its divisors is an integer number (25683345).

Almost surely, 21354350200 is an apocalyptic number.

1354350200 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 1354350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849200840).

1354350200 is an abundant number, since it is smaller than the sum of its proper divisors (2344051480).

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

1354350200 is a wasteful number, since it uses less digits than its factorization.

1354350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1354350200 is about 36801.4972521499. The cubic root of 1354350200 is about 1106.3953081388.

Adding to 1354350200 its reverse (20534531), we get a palindrome (1374884731).

The spelling of 1354350200 in words is "one billion, three hundred fifty-four million, three hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 113 140 175 196 200 226 245 280 350 392 452 490 565 700 791 904 980 1130 1223 1225 1400 1582 1960 2260 2446 2450 2825 3164 3955 4520 4892 4900 5537 5650 6115 6328 7910 8561 9784 9800 11074 11300 12230 15820 17122 19775 22148 22600 24460 27685 30575 31640 34244 39550 42805 44296 48920 55370 59927 61150 68488 79100 85610 110740 119854 122300 138199 138425 158200 171220 214025 221480 239708 244600 276398 276850 299635 342440 428050 479416 552796 553700 599270 690995 856100 967393 1105592 1107400 1198540 1381990 1498175 1712200 1934786 2397080 2763980 2996350 3454975 3869572 4836965 5527960 5992700 6771751 6909950 7739144 9673930 11985400 13543502 13819900 19347860 24184825 27087004 27639800 33858755 38695720 48369650 54174008 67717510 96739300 135435020 169293775 193478600 270870040 338587550 677175100 1354350200