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343125024 = 253112109271
BaseRepresentation
bin10100011100111…
…010110000100000
3212220122120001020
4110130322300200
51200320000044
654014205440
711334341334
oct2434726040
9786576036
10343125024
11166759a00
1296ab3880
1356119b78
14337db7c4
15201cba19
hex1473ac20

343125024 has 144 divisors (see below), whose sum is σ = 1002798720. Its totient is φ = 102643200.

The previous prime is 343124963. The next prime is 343125031. The reversal of 343125024 is 420521343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 343124985 and 343125003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1266009 + ... + 1266279.

It is an arithmetic number, because the mean of its divisors is an integer number (6963880).

Almost surely, 2343125024 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 343125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501399360).

343125024 is an abundant number, since it is smaller than the sum of its proper divisors (659673696).

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

343125024 is a wasteful number, since it uses less digits than its factorization.

343125024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 343125024 is about 18523.6342006638. The cubic root of 343125024 is about 700.0850400086.

Adding to 343125024 its reverse (420521343), we get a palindrome (763646367).

The spelling of 343125024 in words is "three hundred forty-three million, one hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 109 121 132 176 218 242 264 271 327 352 363 436 484 528 542 654 726 813 872 968 1056 1084 1199 1308 1452 1626 1744 1936 2168 2398 2616 2904 2981 3252 3488 3597 3872 4336 4796 5232 5808 5962 6504 7194 8672 8943 9592 10464 11616 11924 13008 13189 14388 17886 19184 23848 26016 26378 28776 29539 32791 35772 38368 39567 47696 52756 57552 59078 65582 71544 79134 88617 95392 98373 105512 115104 118156 131164 143088 158268 177234 196746 211024 236312 262328 286176 316536 324929 354468 393492 422048 472624 524656 633072 649858 708936 786984 945248 974787 1049312 1266144 1299716 1417872 1573968 1949574 2599432 2835744 3147936 3574219 3899148 5198864 7148438 7798296 10397728 10722657 14296876 15596592 21445314 28593752 31193184 42890628 57187504 85781256 114375008 171562512 343125024