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343674240 = 27357213281
BaseRepresentation
bin10100011111000…
…000110110000000
3212221200110102120
4110133000312000
51200440033430
654034044240
711342116500
oct2437006600
9787613376
10343674240
11166aa45a8
1297119680
135627cb50
1433901a00
1520289610
hex147c0d80

343674240 has 384 divisors, whose sum is σ = 1377220320. Its totient is φ = 72253440.

The previous prime is 343674217. The next prime is 343674271. The reversal of 343674240 is 42476343.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3436742402 = 236223966479155200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1222900 + ... + 1223180.

Almost surely, 2343674240 is an apocalyptic number.

343674240 is a gapful number since it is divisible by the number (30) 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 343674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688610160).

343674240 is an abundant number, since it is smaller than the sum of its proper divisors (1033546080).

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

343674240 is a wasteful number, since it uses less digits than its factorization.

343674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 343674240 is about 18538.4530098927. The cubic root of 343674240 is about 700.4583664586.

The spelling of 343674240 in words is "three hundred forty-three million, six hundred seventy-four thousand, two hundred forty".