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34998930 = 23252331669
BaseRepresentation
bin1000010110000…
…0101010010010
32102212010111200
42011200222102
532424431210
63250052030
7603325461
oct205405222
972763450
1034998930
111883523a
12b87a016
137335435
1449109d8
1531150c0
hex2160a92

34998930 has 48 divisors (see below), whose sum is σ = 91442520. Its totient is φ = 9287424.

The previous prime is 34998917. The next prime is 34998959. The reversal of 34998930 is 3989943.

It can be written as a sum of positive squares in 4 ways, for example, as 23648769 + 11350161 = 4863^2 + 3369^2 .

It is a super-2 number, since 2×349989302 = 2449850202289800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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, 20136 + ... + 21804.

Almost surely, 234998930 is an apocalyptic number.

34998930 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 34998930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45721260).

34998930 is an abundant number, since it is smaller than the sum of its proper divisors (56443590).

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

34998930 is a wasteful number, since it uses less digits than its factorization.

34998930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 34998930 is about 5915.9893509032. The cubic root of 34998930 is about 327.1032976126.

The spelling of 34998930 in words is "thirty-four million, nine hundred ninety-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 1669 2097 2330 3338 3495 4194 5007 6990 8345 10014 10485 15021 16690 20970 25035 30042 50070 75105 150210 388877 777754 1166631 1944385 2333262 3499893 3888770 5833155 6999786 11666310 17499465 34998930