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343247472 = 24321271372
BaseRepresentation
bin10100011101011…
…000101001110000
3212220212210000100
4110131120221300
51200332404342
654020552400
711335361331
oct2435305160
9786783010
10343247472
111668329a7
1296b52700
1356160819
1433830288
1520202e4c
hex14758a70

343247472 has 90 divisors (see below), whose sum is σ = 975298688. Its totient is φ = 112686336.

The previous prime is 343247467. The next prime is 343247473. The reversal of 343247472 is 274742343.

343247472 is a `hidden beast` number, since 343 + 247 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343247473) 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 17 ways as a sum of consecutive naturals, for example, 2505388 + ... + 2505524.

Almost surely, 2343247472 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 343247472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487649344).

343247472 is an abundant number, since it is smaller than the sum of its proper divisors (632051216).

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

343247472 is a wasteful number, since it uses less digits than its factorization.

343247472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 269 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 343247472 is about 18526.9390887972. The cubic root of 343247472 is about 700.1683078282.

The spelling of 343247472 in words is "three hundred forty-three million, two hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 137 144 254 274 381 411 508 548 762 822 1016 1096 1143 1233 1524 1644 2032 2192 2286 2466 3048 3288 4572 4932 6096 6576 9144 9864 17399 18288 18769 19728 34798 37538 52197 56307 69596 75076 104394 112614 139192 150152 156591 168921 208788 225228 278384 300304 313182 337842 417576 450456 626364 675684 835152 900912 1252728 1351368 2383663 2505456 2702736 4767326 7150989 9534652 14301978 19069304 21452967 28603956 38138608 42905934 57207912 85811868 114415824 171623736 343247472