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34281630 = 234542323
BaseRepresentation
bin1000001011000…
…1100010011110
32101111200120000
42002301202132
532234003010
63222435130
7564250305
oct202614236
971450500
1034281630
1118395329
12b592aa6
137143ab6
1447a543c
1530227c0
hex20b189e

34281630 has 40 divisors (see below), whose sum is σ = 92181672. Its totient is φ = 9141552.

The previous prime is 34281613. The next prime is 34281649. The reversal of 34281630 is 3618243.

It is a happy number.

34281630 is a `hidden beast` number, since 3 + 4 + 28 + 1 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34281594 and 34281603.

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 19 ways as a sum of consecutive naturals, for example, 20352 + ... + 21971.

Almost surely, 234281630 is an apocalyptic number.

34281630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34281630 is an abundant number, since it is smaller than the sum of its proper divisors (57900042).

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

34281630 is a wasteful number, since it uses less digits than its factorization.

34281630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42342 (or 42333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34281630 is about 5855.0516650154. The cubic root of 34281630 is about 324.8532039221.

Adding to 34281630 its reverse (3618243), we get a palindrome (37899873).

The spelling of 34281630 in words is "thirty-four million, two hundred eighty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 42323 84646 126969 211615 253938 380907 423230 634845 761814 1142721 1269690 1904535 2285442 3428163 3809070 5713605 6856326 11427210 17140815 34281630