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214580034 = 23219718837
BaseRepresentation
bin11001100101000…
…11101101000010
3112221202210110200
430302203231002
5414413030114
633143110030
75213620524
oct1462435502
9487683420
10214580034
11100141179
125ba42316
13355c0746
14206d9a14
1513c89409
hexcca3b42

214580034 has 48 divisors (see below), whose sum is σ = 496342080. Its totient is φ = 66800160.

The previous prime is 214580017. The next prime is 214580063. The reversal of 214580034 is 430085412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19864 + ... + 28700.

It is an arithmetic number, because the mean of its divisors is an integer number (10340460).

Almost surely, 2214580034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214580034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248171040).

214580034 is an abundant number, since it is smaller than the sum of its proper divisors (281762046).

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

214580034 is a wasteful number, since it uses less digits than its factorization.

214580034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214580034 is about 14648.5505767636. The cubic root of 214580034 is about 598.6823250061.

The spelling of 214580034 in words is "two hundred fourteen million, five hundred eighty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 2698 4047 8094 8837 12141 17674 24282 26511 53022 79533 159066 167903 335806 503709 627427 1007418 1254854 1511127 1882281 3022254 3764562 5646843 11293686 11921113 23842226 35763339 71526678 107290017 214580034