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31305414 = 2372233457
BaseRepresentation
bin111011101101…
…0111011000110
32011220110221210
41313122323012
531003233124
63034552250
7530043300
oct167327306
964813853
1031305414
1116742248
12a598686
13664121a
14422c970
152b35a29
hex1ddaec6

31305414 has 48 divisors (see below), whose sum is σ = 73305648. Its totient is φ = 8886528.

The previous prime is 31305401. The next prime is 31305451. The reversal of 31305414 is 41450313.

It is a super-2 number, since 2×313054142 = 1960057891422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68274 + ... + 68730.

It is an arithmetic number, because the mean of its divisors is an integer number (1527201).

Almost surely, 231305414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31305414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36652824).

31305414 is an abundant number, since it is smaller than the sum of its proper divisors (42000234).

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

31305414 is a wasteful number, since it uses less digits than its factorization.

31305414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 31305414 is about 5595.1241273094. The cubic root of 31305414 is about 315.1663319081.

Adding to 31305414 its reverse (41450313), we get a palindrome (72755727).

The spelling of 31305414 in words is "thirty-one million, three hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 233 294 457 466 699 914 1371 1398 1631 2742 3199 3262 4893 6398 9597 9786 11417 19194 22393 22834 34251 44786 67179 68502 106481 134358 212962 319443 638886 745367 1490734 2236101 4472202 5217569 10435138 15652707 31305414