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340045056 = 28321311353
BaseRepresentation
bin10100010001001…
…010110100000000
3212200212002010100
4110101022310000
51144022420211
653424202400
711266223001
oct2421126400
9780762110
10340045056
11164a4597a
1295a69400
13555abcc0
14332391a8
151ecbe156
hex1444ad00

340045056 has 108 divisors (see below), whose sum is σ = 1055944708. Its totient is φ = 104620032.

The previous prime is 340045007. The next prime is 340045063. The reversal of 340045056 is 650540043.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 269485056 = 8400^2 + 16416^2 .

It is a super-2 number, since 2×3400450562 = 231261280220086272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24276 + ... + 35628.

Almost surely, 2340045056 is an apocalyptic number.

340045056 is a gapful number since it is divisible by the number (36) 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 340045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527972354).

340045056 is an abundant number, since it is smaller than the sum of its proper divisors (715899652).

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

340045056 is a wasteful number, since it uses less digits than its factorization.

340045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 340045056 is about 18440.3106264510. The cubic root of 340045056 is about 697.9840337013.

Adding to 340045056 its reverse (650540043), we get a palindrome (990585099).

It can be divided in two parts, 34004 and 5056, that added together give a triangular number (39060 = T279).

The spelling of 340045056 in words is "three hundred forty million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 11353 14976 22706 29952 34059 45412 68118 90824 102177 136236 147589 181648 204354 272472 295178 363296 408708 442767 544944 590356 726592 817416 885534 1089888 1180712 1328301 1453184 1634832 1771068 2179776 2361424 2656602 2906368 3269664 3542136 4359552 4722848 5313204 6539328 7084272 8719104 9445696 10626408 13078656 14168544 18891392 21252816 26157312 28337088 37782784 42505632 56674176 85011264 113348352 170022528 340045056