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343437472 = 25722389107
BaseRepresentation
bin10100011110000…
…111000010100000
3212221020102122101
4110132013002200
51200404444342
654025020144
711340112300
oct2436070240
9787212571
10343437472
11166952724
1297024654
13561c9151
143387d600
152023e3b7
hex147870a0

343437472 has 144 divisors (see below), whose sum is σ = 837708480. Its totient is φ = 137905152.

The previous prime is 343437463. The next prime is 343437529. The reversal of 343437472 is 274734343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3209643 + ... + 3209749.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2343437472 is an apocalyptic number.

343437472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343437472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418854240).

343437472 is an abundant number, since it is smaller than the sum of its proper divisors (494271008).

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

343437472 is a wasteful number, since it uses less digits than its factorization.

343437472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 169344, while the sum is 37.

The square root of 343437472 is about 18532.0660477994. The cubic root of 343437472 is about 700.2974735671.

The spelling of 343437472 in words is "three hundred forty-three million, four hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 89 92 98 107 112 161 178 184 196 214 224 322 356 368 392 428 623 644 712 736 749 784 856 1127 1246 1288 1424 1498 1568 1712 2047 2254 2461 2492 2576 2848 2996 3424 4094 4361 4508 4922 4984 5152 5243 5992 8188 8722 9016 9523 9844 9968 10486 11984 14329 16376 17227 17444 18032 19046 19688 19936 20972 23968 28658 32752 34454 34888 36064 38092 39376 41944 57316 65504 66661 68908 69776 76184 78752 83888 100303 114632 120589 133322 137816 139552 152368 167776 200606 219029 229264 241178 266644 275632 304736 401212 438058 458528 466627 482356 533288 551264 802424 876116 933254 964712 1066576 1533203 1604848 1752232 1866508 1929424 2133152 3066406 3209696 3504464 3733016 3858848 6132812 7008928 7466032 10732421 12265624 14932064 21464842 24531248 42929684 49062496 85859368 171718736 343437472