Search a number
-
+
30983430 = 23537103271
BaseRepresentation
bin111011000110…
…0010100000110
32011022010021110
41312030110012
530412432210
63024025450
7524232462
oct166142406
964263243
1030983430
1116542345
12a462286
13655a7ba
1441874a2
152ac0420
hex1d8c506

30983430 has 64 divisors (see below), whose sum is σ = 77395968. Its totient is φ = 7931520.

The previous prime is 30983423. The next prime is 30983441. The reversal of 30983430 is 3438903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

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, 114195 + ... + 114465.

It is an arithmetic number, because the mean of its divisors is an integer number (1209312).

Almost surely, 230983430 is an apocalyptic number.

30983430 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 30983430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38697984).

30983430 is an abundant number, since it is smaller than the sum of its proper divisors (46412538).

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

30983430 is a wasteful number, since it uses less digits than its factorization.

30983430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30983430 is about 5566.2761340056. The cubic root of 30983430 is about 314.0820846429.

It can be divided in two parts, 30983 and 430, that added together give a palindrome (31413).

The spelling of 30983430 in words is "thirty million, nine hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 185 206 222 271 309 370 515 542 555 618 813 1030 1110 1355 1545 1626 2710 3090 3811 4065 7622 8130 10027 11433 19055 20054 22866 27913 30081 38110 50135 55826 57165 60162 83739 100270 114330 139565 150405 167478 279130 300810 418695 837390 1032781 2065562 3098343 5163905 6196686 10327810 15491715 30983430