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34808730 = 23511313337
BaseRepresentation
bin1000010011001…
…0001110011010
32102111110121020
42010302032122
532402334410
63242023310
7601604115
oct204621632
972443536
1034808730
1118715350
12b7a7b36
1372999a8
1448a157c
1530c8a70
hex213239a

34808730 has 64 divisors (see below), whose sum is σ = 91698048. Its totient is φ = 8386560.

The previous prime is 34808723. The next prime is 34808737. The reversal of 34808730 is 3780843.

It is an interprime number because it is at equal distance from previous prime (34808723) and next prime (34808737).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34808691 and 34808700.

It is not an unprimeable number, because it can be changed into a prime (34808737) by changing a digit.

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, 103122 + ... + 103458.

It is an arithmetic number, because the mean of its divisors is an integer number (1432782).

Almost surely, 234808730 is an apocalyptic number.

34808730 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 34808730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849024).

34808730 is an abundant number, since it is smaller than the sum of its proper divisors (56889318).

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

34808730 is a wasteful number, since it uses less digits than its factorization.

34808730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 34808730 is about 5899.8923718997. The cubic root of 34808730 is about 326.5096786051.

The spelling of 34808730 in words is "thirty-four million, eight hundred eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 313 330 337 626 674 939 1011 1565 1685 1878 2022 3130 3370 3443 3707 4695 5055 6886 7414 9390 10110 10329 11121 17215 18535 20658 22242 34430 37070 51645 55605 103290 105481 111210 210962 316443 527405 632886 1054810 1160291 1582215 2320582 3164430 3480873 5801455 6961746 11602910 17404365 34808730