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31230400 = 2652131149
BaseRepresentation
bin111011100100…
…0100111000000
32011202200001111
41313020213000
530443333100
63033213104
7526311505
oct167104700
964680044
1031230400
11166a0953
12a561194
136616036
14420d4ac
152b1d6ba
hex1dc89c0

31230400 has 84 divisors (see below), whose sum is σ = 77952600. Its totient is φ = 12313600.

The previous prime is 31230391. The next prime is 31230401. The reversal of 31230400 is 403213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31230401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 209526 + ... + 209674.

Almost surely, 231230400 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 31230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38976300).

31230400 is an abundant number, since it is smaller than the sum of its proper divisors (46722200).

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

31230400 is a wasteful number, since it uses less digits than its factorization.

31230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

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

The square root of 31230400 is about 5588.4165914864. The cubic root of 31230400 is about 314.9143968279.

Adding to 31230400 its reverse (403213), we get a palindrome (31633613).

The spelling of 31230400 in words is "thirty-one million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 131 149 160 200 262 298 320 400 524 596 655 745 800 1048 1192 1310 1490 1600 2096 2384 2620 2980 3275 3725 4192 4768 5240 5960 6550 7450 8384 9536 10480 11920 13100 14900 19519 20960 23840 26200 29800 39038 41920 47680 52400 59600 78076 97595 104800 119200 156152 195190 209600 238400 312304 390380 487975 624608 780760 975950 1249216 1561520 1951900 3123040 3903800 6246080 7807600 15615200 31230400