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343772352 = 263271123337
BaseRepresentation
bin10100011111011…
…000110011000000
3212221212110000100
4110133120303000
51201001203402
654040122400
711343005520
oct2437306300
9787773010
10343772352
11167061290
1297166400
13562b56c1
1433929680
15202a871c
hex147d8cc0

343772352 has 336 divisors, whose sum is σ = 1285719552. Its totient is φ = 85155840.

The previous prime is 343772347. The next prime is 343772389. The reversal of 343772352 is 253277343.

343772352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3437723522 = 236358859999223808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1019928 + ... + 1020264.

Almost surely, 2343772352 is an apocalyptic number.

343772352 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 343772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642859776).

343772352 is an abundant number, since it is smaller than the sum of its proper divisors (941947200).

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

343772352 is a wasteful number, since it uses less digits than its factorization.

343772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its digits is 105840, while the sum is 36.

The square root of 343772352 is about 18541.0989965536. The cubic root of 343772352 is about 700.5250156519.

The spelling of 343772352 in words is "three hundred forty-three million, seven hundred seventy-two thousand, three hundred fifty-two".