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349252056 = 233223210901
BaseRepresentation
bin10100110100010…
…010100111011000
3220100011211202100
4110310102213120
51203402031211
654353403400
711440410366
oct2464224730
9810154670
10349252056
1116a16426a
1298b69560
135748392a
1434554636
15209dc156
hex14d129d8

349252056 has 48 divisors (see below), whose sum is σ = 987021360. Its totient is φ = 111355200.

The previous prime is 349252051. The next prime is 349252061. The reversal of 349252056 is 650252943.

It is an interprime number because it is at equal distance from previous prime (349252051) and next prime (349252061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 349252056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349252051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 103795 + ... + 107106.

It is an arithmetic number, because the mean of its divisors is an integer number (20562945).

Almost surely, 2349252056 is an apocalyptic number.

349252056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349252056 is an abundant number, since it is smaller than the sum of its proper divisors (637769304).

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

349252056 is a wasteful number, since it uses less digits than its factorization.

349252056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210936 (or 210929 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 349252056 is about 18688.2865988298. The cubic root of 349252056 is about 704.2275166413.

It can be divided in two parts, 349 and 252056, that added together give a triangular number (252405 = T710).

The spelling of 349252056 in words is "three hundred forty-nine million, two hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 210901 421802 632703 843604 1265406 1687208 1898109 2530812 3796218 4850723 5061624 7592436 9701446 14552169 15184872 19402892 29104338 38805784 43656507 58208676 87313014 116417352 174626028 349252056