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34980390 = 2335177621
BaseRepresentation
bin1000010101110…
…0001000100110
32102211012002000
42011130020212
532423333030
63245430130
7603220434
oct205341046
972735060
1034980390
1118822315
12b86b346
137329b73
144907d54
15310e860
hex215c226

34980390 has 64 divisors (see below), whose sum is σ = 98781120. Its totient is φ = 8778240.

The previous prime is 34980377. The next prime is 34980397. The reversal of 34980390 is 9308943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34980397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780 + ... + 8400.

It is an arithmetic number, because the mean of its divisors is an integer number (1543455).

Almost surely, 234980390 is an apocalyptic number.

34980390 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 34980390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49390560).

34980390 is an abundant number, since it is smaller than the sum of its proper divisors (63800730).

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

34980390 is a wasteful number, since it uses less digits than its factorization.

34980390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34980390 is about 5914.4222033940. The cubic root of 34980390 is about 327.0455285484.

The spelling of 34980390 in words is "thirty-four million, nine hundred eighty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 7621 15242 22863 38105 45726 68589 76210 114315 129557 137178 205767 228630 259114 342945 388671 411534 647785 685890 777342 1028835 1166013 1295570 1943355 2057670 2332026 3498039 3886710 5830065 6996078 11660130 17490195 34980390