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340022364 = 2231189103281
BaseRepresentation
bin10100010001000…
…101010001011100
3212200210220222220
4110101011101130
51144021203424
653423505340
711266066563
oct2421052134
9780726886
10340022364
11164a2a920
1295a58250
13555a1886
1433230bda
151ecb7579
hex1444545c

340022364 has 96 divisors (see below), whose sum is σ = 886878720. Its totient is φ = 100531200.

The previous prime is 340022351. The next prime is 340022377. The reversal of 340022364 is 463220043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340022351) and next prime (340022377).

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 31 ways as a sum of consecutive naturals, for example, 1209904 + ... + 1210184.

It is an arithmetic number, because the mean of its divisors is an integer number (9238320).

Almost surely, 2340022364 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 340022364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443439360).

340022364 is an abundant number, since it is smaller than the sum of its proper divisors (546856356).

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

340022364 is a wasteful number, since it uses less digits than its factorization.

340022364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 340022364 is about 18439.6953337087. The cubic root of 340022364 is about 697.9685073215.

The spelling of 340022364 in words is "three hundred forty million, twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 103 132 178 206 267 281 309 356 412 534 562 618 843 979 1068 1124 1133 1236 1686 1958 2266 2937 3091 3372 3399 3916 4532 5874 6182 6798 9167 9273 11748 12364 13596 18334 18546 25009 27501 28943 36668 37092 50018 55002 57886 75027 86829 100036 100837 110004 115772 150054 173658 201674 275099 300108 302511 318373 347316 403348 550198 605022 636746 825297 955119 1100396 1210044 1273492 1650594 1910238 2575927 3301188 3820476 5151854 7727781 10303708 15455562 28335197 30911124 56670394 85005591 113340788 170011182 340022364