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348052224 = 2831371491
BaseRepresentation
bin10100101111101…
…101101100000000
3220020220212220010
4110233231230000
51203100132344
654311544520
711424252342
oct2457555400
9806825803
10348052224
11169514873
129868b140
1357153780
1434321292
15208518b9
hex14bedb00

348052224 has 144 divisors (see below), whose sum is σ = 1013693184. Its totient is φ = 105369600.

The previous prime is 348052207. The next prime is 348052231. The reversal of 348052224 is 422250843.

It is a super-2 number, since 2×3480522242 = 242280701262692352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348052191 and 348052200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708619 + ... + 709109.

It is an arithmetic number, because the mean of its divisors is an integer number (7039536).

Almost surely, 2348052224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506846592).

348052224 is an abundant number, since it is smaller than the sum of its proper divisors (665640960).

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

348052224 is a wasteful number, since it uses less digits than its factorization.

348052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 348052224 is about 18656.1578037923. The cubic root of 348052224 is about 703.4201492579.

The spelling of 348052224 in words is "three hundred forty-eight million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 491 568 624 768 832 852 923 982 1136 1248 1473 1664 1704 1846 1964 2272 2496 2769 2946 3328 3408 3692 3928 4544 4992 5538 5892 6383 6816 7384 7856 9088 9984 11076 11784 12766 13632 14768 15712 18176 19149 22152 23568 25532 27264 29536 31424 34861 38298 44304 47136 51064 54528 59072 62848 69722 76596 88608 94272 102128 104583 118144 125696 139444 153192 177216 188544 204256 209166 236288 278888 306384 354432 377088 408512 418332 453193 557776 612768 708864 817024 836664 906386 1115552 1225536 1359579 1634048 1673328 1812772 2231104 2451072 2719158 3346656 3625544 4462208 4902144 5438316 6693312 7251088 8924416 10876632 13386624 14502176 21753264 26773248 29004352 43506528 58008704 87013056 116017408 174026112 348052224