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39434130 = 2325835279
BaseRepresentation
bin1001011001101…
…1011110010010
32202012110110100
42112123132102
540043343010
63525113230
7656120211
oct226333622
982173410
1039434130
112029449a
1211258816
138229108
145347078
1536de2c0
hex259b792

39434130 has 48 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 10387104.

The previous prime is 39434093. The next prime is 39434141. The reversal of 39434130 is 3143493.

39434130 is nontrivially palindromic in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 39434094 and 39434103.

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, 4831 + ... + 10109.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 239434130 is an apocalyptic number.

39434130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

39434130 is an abundant number, since it is smaller than the sum of its proper divisors (64349550).

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

39434130 is a wasteful number, since it uses less digits than its factorization.

39434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 39434130 is about 6279.6600226445. The cubic root of 39434130 is about 340.3748173286.

The spelling of 39434130 in words is "thirty-nine million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 5279 7470 10558 15837 26395 31674 47511 52790 79185 95022 158370 237555 438157 475110 876314 1314471 2190785 2628942 3943413 4381570 6572355 7886826 13144710 19717065 39434130