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30420306 = 2337233499
BaseRepresentation
bin111010000001…
…0110101010010
32010020111211000
41310002311102
530241422211
63004002430
7516365640
oct164026522
963214730
1030420306
1116198254
12a230416
1363c13a7
14407c190
152a0d656
hex1d02d52

30420306 has 64 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 8311248.

The previous prime is 30420277. The next prime is 30420317. The reversal of 30420306 is 60302403.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6945 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 230420306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30420306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

30420306 is an abundant number, since it is smaller than the sum of its proper divisors (50219694).

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

30420306 is a wasteful number, since it uses less digits than its factorization.

30420306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30420306 is about 5515.4606335283. The cubic root of 30420306 is about 312.1676244234.

Adding to 30420306 its reverse (60302403), we get a palindrome (90722709).

The spelling of 30420306 in words is "thirty million, four hundred twenty thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 3499 4347 6998 8694 10497 20994 24493 31491 48986 62982 73479 80477 94473 146958 160954 188946 220437 241431 440874 482862 563339 661311 724293 1126678 1322622 1448586 1690017 2172879 3380034 4345758 5070051 10140102 15210153 30420306