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34818390 = 2335432999
BaseRepresentation
bin1000010011010…
…0100101010110
32102111221212000
42010310211112
532403142030
63242140130
7601644225
oct204644526
972457760
1034818390
1118721632
12b7b1646
1372a11c9
1448a4cbc
1530cb860
hex2134956

34818390 has 64 divisors (see below), whose sum is σ = 95040000. Its totient is φ = 9065952.

The previous prime is 34818383. The next prime is 34818419. The reversal of 34818390 is 9381843.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10111 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (1485000).

Almost surely, 234818390 is an apocalyptic number.

34818390 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 34818390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520000).

34818390 is an abundant number, since it is smaller than the sum of its proper divisors (60221610).

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

34818390 is a wasteful number, since it uses less digits than its factorization.

34818390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34818390 is about 5900.7109741115. The cubic root of 34818390 is about 326.5398797622.

The spelling of 34818390 in words is "thirty-four million, eight hundred eighteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 2999 3870 5805 5998 8997 11610 14995 17994 26991 29990 44985 53982 80973 89970 128957 134955 161946 257914 269910 386871 404865 644785 773742 809730 1160613 1289570 1934355 2321226 3481839 3868710 5803065 6963678 11606130 17409195 34818390