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343213000 = 235313171553
BaseRepresentation
bin10100011101010…
…000001111001000
3212220211000201121
4110131100033020
51200330304000
654020125024
711335155664
oct2435201710
9786730647
10343213000
1116680a009
1296b36774
135614ac20
14338218a4
15201e7b1a
hex147503c8

343213000 has 128 divisors (see below), whose sum is σ = 916362720. Its totient is φ = 119193600.

The previous prime is 343212959. The next prime is 343213021. The reversal of 343213000 is 312343.

It can be written as a sum of positive squares in 16 ways, for example, as 76282756 + 266930244 = 8734^2 + 16338^2 .

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, 220224 + ... + 221776.

Almost surely, 2343213000 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 343213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458181360).

343213000 is an abundant number, since it is smaller than the sum of its proper divisors (573149720).

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

343213000 is a wasteful number, since it uses less digits than its factorization.

343213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 343213000 is about 18526.0087444652. The cubic root of 343213000 is about 700.1448679761.

Adding to 343213000 its reverse (312343), we get a palindrome (343525343).

The spelling of 343213000 in words is "three hundred forty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 200 221 250 260 325 340 425 442 500 520 650 680 850 884 1000 1105 1300 1553 1625 1700 1768 2125 2210 2600 3106 3250 3400 4250 4420 5525 6212 6500 7765 8500 8840 11050 12424 13000 15530 17000 20189 22100 26401 27625 31060 38825 40378 44200 52802 55250 62120 77650 80756 100945 105604 110500 132005 155300 161512 194125 201890 211208 221000 264010 310600 343213 388250 403780 504725 528020 660025 686426 776500 807560 1009450 1056040 1320050 1372852 1553000 1716065 2018900 2523625 2640100 2745704 3300125 3432130 4037800 5047250 5280200 6600250 6864260 8580325 10094500 13200500 13728520 17160650 20189000 26401000 34321300 42901625 68642600 85803250 171606500 343213000