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31300320 = 2535611069
BaseRepresentation
bin111011101100…
…1101011100000
32011220012222010
41313121223200
531003102240
63034512520
7530022402
oct167315340
964805863
1031300320
1116739437
12a595740
13663bacc
14422ab72
152b34280
hex1dd9ae0

31300320 has 96 divisors (see below), whose sum is σ = 100306080. Its totient is φ = 8202240.

The previous prime is 31300307. The next prime is 31300327. The reversal of 31300320 is 2300313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31300296 and 31300305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28746 + ... + 29814.

It is an arithmetic number, because the mean of its divisors is an integer number (1044855).

Almost surely, 231300320 is an apocalyptic number.

31300320 is a gapful number since it is divisible by the number (30) 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 31300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50153040).

31300320 is an abundant number, since it is smaller than the sum of its proper divisors (69005760).

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

31300320 is a wasteful number, since it uses less digits than its factorization.

31300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 31300320 is about 5594.6688910069. The cubic root of 31300320 is about 315.1492364159.

Adding to 31300320 its reverse (2300313), we get a palindrome (33600633).

The spelling of 31300320 in words is "thirty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1069 1220 1464 1830 1952 2138 2440 2928 3207 3660 4276 4880 5345 5856 6414 7320 8552 9760 10690 12828 14640 16035 17104 21380 25656 29280 32070 34208 42760 51312 64140 65209 85520 102624 128280 130418 171040 195627 256560 260836 326045 391254 513120 521672 652090 782508 978135 1043344 1304180 1565016 1956270 2086688 2608360 3130032 3912540 5216720 6260064 7825080 10433440 15650160 31300320