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349284030 = 23519643953
BaseRepresentation
bin10100110100011…
…010011010111110
3220100020110121120
4110310122122332
51203404042110
654354211410
711440602534
oct2464323276
9810213546
10349284030
1116a186297
1298b83b66
1357495354
1434562154
15209e6870
hex14d1a6be

349284030 has 64 divisors (see below), whose sum is σ = 884701440. Its totient is φ = 88010496.

The previous prime is 349283983. The next prime is 349284053. The reversal of 349284030 is 30482943.

It is a super-2 number, since 2×3492840302 = 243998667226081800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349283982 and 349284000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366034 + ... + 366986.

It is an arithmetic number, because the mean of its divisors is an integer number (13823460).

Almost surely, 2349284030 is an apocalyptic number.

349284030 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 349284030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442350720).

349284030 is an abundant number, since it is smaller than the sum of its proper divisors (535417410).

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

349284030 is a wasteful number, since it uses less digits than its factorization.

349284030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 349284030 is about 18689.1420348822. The cubic root of 349284030 is about 704.2490066446.

The spelling of 349284030 in words is "three hundred forty-nine million, two hundred eighty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 643 953 1286 1906 1929 2859 3215 3858 4765 5718 6430 9530 9645 12217 14295 18107 19290 24434 28590 36214 36651 54321 61085 73302 90535 108642 122170 181070 183255 271605 366510 543210 612779 1225558 1838337 3063895 3676674 6127790 9191685 11642801 18383370 23285602 34928403 58214005 69856806 116428010 174642015 349284030