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343479828 = 223295916729
BaseRepresentation
bin10100011110010…
…001011000010100
3212221022120202010
4110132101120110
51200412323303
654025544220
711340346626
oct2436213024
9787276663
10343479828
1116698152a
1297045070
1356212503
1433890c16
152024bc03
hex14791614

343479828 has 48 divisors (see below), whose sum is σ = 843192000. Its totient is φ = 108665088.

The previous prime is 343479827. The next prime is 343479833. The reversal of 343479828 is 828974343.

It is a super-3 number, since 3×3434798283 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343479821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12168 + ... + 28896.

It is an arithmetic number, because the mean of its divisors is an integer number (17566500).

Almost surely, 2343479828 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 343479828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421596000).

343479828 is an abundant number, since it is smaller than the sum of its proper divisors (499712172).

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

343479828 is a wasteful number, since it uses less digits than its factorization.

343479828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16824 (or 16822 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 343479828 is about 18533.2087885504. The cubic root of 343479828 is about 700.3262615153.

The spelling of 343479828 in words is "three hundred forty-three million, four hundred seventy-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 236 348 354 708 1711 3422 5133 6844 10266 16729 20532 33458 50187 66916 100374 200748 485141 970282 987011 1455423 1940564 1974022 2910846 2961033 3948044 5821692 5922066 11844132 28623319 57246638 85869957 114493276 171739914 343479828