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30202312 = 23723131179
BaseRepresentation
bin111001100110…
…1100111001000
32002211102210011
41303031213020
530212433222
62555201304
7514500250
oct163154710
962742704
1030202312
1116059498
12a146234
1363460ba
144022960
1529b8c77
hex1ccd9c8

30202312 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 12217920.

The previous prime is 30202307. The next prime is 30202313. The reversal of 30202312 is 21320203.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30202292 and 30202301.

It is not an unprimeable number, because it can be changed into a prime (30202313) 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 15 ways as a sum of consecutive naturals, for example, 168639 + ... + 168817.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 230202312 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 30202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

30202312 is an abundant number, since it is smaller than the sum of its proper divisors (38226488).

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

30202312 is a wasteful number, since it uses less digits than its factorization.

30202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

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

The square root of 30202312 is about 5495.6630173256. The cubic root of 30202312 is about 311.4201645820.

Adding to 30202312 its reverse (21320203), we get a palindrome (51522515).

The spelling of 30202312 in words is "thirty million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 131 161 179 184 262 322 358 524 644 716 917 1048 1253 1288 1432 1834 2506 3013 3668 4117 5012 6026 7336 8234 10024 12052 16468 21091 23449 24104 28819 32936 42182 46898 57638 84364 93796 115276 164143 168728 187592 230552 328286 539327 656572 1078654 1313144 2157308 3775289 4314616 7550578 15101156 30202312