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343699968 = 2931911777
BaseRepresentation
bin10100011111000…
…111001000000000
3212221201202201110
4110133013020000
51200441344333
654034403320
711342254503
oct2437071000
9787652643
10343699968
11167011967
1297130540
135628b781
143390b13a
1520292063
hex147c7200

343699968 has 80 divisors (see below), whose sum is σ = 963911520. Its totient is φ = 108527616.

The previous prime is 343699963. The next prime is 343699969. The reversal of 343699968 is 869996343.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (343699963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23296 + ... + 35072.

It is an arithmetic number, because the mean of its divisors is an integer number (12048894).

Almost surely, 2343699968 is an apocalyptic number.

343699968 is a gapful number since it is divisible by the number (38) 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 343699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481955760).

343699968 is an abundant number, since it is smaller than the sum of its proper divisors (620211552).

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

343699968 is a wasteful number, since it uses less digits than its factorization.

343699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11801 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 57.

The square root of 343699968 is about 18539.1469059393. The cubic root of 343699968 is about 700.4758451647.

The spelling of 343699968 in words is "three hundred forty-three million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 11777 14592 23554 29184 35331 47108 70662 94216 141324 188432 223763 282648 376864 447526 565296 671289 753728 895052 1130592 1342578 1507456 1790104 2261184 2685156 3014912 3580208 4522368 5370312 6029824 7160416 9044736 10740624 14320832 18089472 21481248 28641664 42962496 57283328 85924992 114566656 171849984 343699968