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340011072 = 2632619677
BaseRepresentation
bin10100010001000…
…010100001000000
3212200210100111200
4110101002201000
51144020323242
653423341200
711266021632
oct2421024100
9780710450
10340011072
11164a22395
1295a51800
13555996ab
143322aa52
151ecb404c
hex14442840

340011072 has 84 divisors (see below), whose sum is σ = 990659436. Its totient is φ = 111467520.

The previous prime is 340011031. The next prime is 340011127. The reversal of 340011072 is 270110043.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 238887936 = 10056^2 + 15456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30298 + ... + 39974.

Almost surely, 2340011072 is an apocalyptic number.

340011072 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 340011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495329718).

340011072 is an abundant number, since it is smaller than the sum of its proper divisors (650648364).

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

340011072 is a wasteful number, since it uses less digits than its factorization.

340011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 340011072 is about 18439.3891438952. The cubic root of 340011072 is about 697.9607808223.

The spelling of 340011072 in words is "three hundred forty million, eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 9677 11712 17568 19354 29031 35136 38708 58062 77416 87093 116124 154832 174186 232248 309664 348372 464496 590297 619328 696744 928992 1180594 1393488 1770891 1857984 2361188 2786976 3541782 4722376 5312673 5573952 7083564 9444752 10625346 14167128 18889504 21250692 28334256 37779008 42501384 56668512 85002768 113337024 170005536 340011072