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320103400 = 235241103379
BaseRepresentation
bin10011000101000…
…110001111101000
3211022022221022111
4103011012033220
51123421302100
651432532104
710634556031
oct2305061750
9738287274
10320103400
11154765471
128b251034
13514192c6
1430727a88
151d1806ba
hex131463e8

320103400 has 96 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 123379200.

The previous prime is 320103341. The next prime is 320103401. The reversal of 320103400 is 4301023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320103401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844411 + ... + 844789.

It is an arithmetic number, because the mean of its divisors is an integer number (8039850).

Almost surely, 2320103400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

320103400 is an abundant number, since it is smaller than the sum of its proper divisors (451722200).

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

320103400 is a wasteful number, since it uses less digits than its factorization.

320103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 320103400 is about 17891.4337044296. The cubic root of 320103400 is about 684.0640422008.

Adding to 320103400 its reverse (4301023), we get a palindrome (324404423).

The spelling of 320103400 in words is "three hundred twenty million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 103 164 200 205 206 328 379 410 412 515 758 820 824 1025 1030 1516 1640 1895 2050 2060 2575 3032 3790 4100 4120 4223 5150 7580 8200 8446 9475 10300 15160 15539 16892 18950 20600 21115 31078 33784 37900 39037 42230 62156 75800 77695 78074 84460 105575 124312 155390 156148 168920 195185 211150 310780 312296 388475 390370 422300 621560 776950 780740 844600 975925 1553900 1561480 1600517 1951850 3107800 3201034 3903700 6402068 7807400 8002585 12804136 16005170 32010340 40012925 64020680 80025850 160051700 320103400