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30080442 = 2375961199
BaseRepresentation
bin111001010111…
…1110110111010
32002121020121110
41302233312322
530200033232
62552421150
7513452040
oct162576672
962536543
1030080442
1115a85977
12a0a77b6
1363027a2
143dd0390
152992acc
hex1cafdba

30080442 has 64 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 8268480.

The previous prime is 30080441. The next prime is 30080459. The reversal of 30080442 is 24408003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30080441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151059 + ... + 151257.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 230080442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30080442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

30080442 is an abundant number, since it is smaller than the sum of its proper divisors (41343558).

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

30080442 is a wasteful number, since it uses less digits than its factorization.

30080442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 30080442 is about 5484.5639753767. The cubic root of 30080442 is about 311.0007271758. Note that the first 3 decimals are identical.

Adding to 30080442 its reverse (24408003), we get a palindrome (54488445).

The spelling of 30080442 in words is "thirty million, eighty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 59 61 118 122 177 183 199 354 366 398 413 427 597 826 854 1194 1239 1281 1393 2478 2562 2786 3599 4179 7198 8358 10797 11741 12139 21594 23482 24278 25193 35223 36417 50386 70446 72834 75579 82187 84973 151158 164374 169946 246561 254919 493122 509838 716201 1432402 2148603 4297206 5013407 10026814 15040221 30080442