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340114434 = 231137414379
BaseRepresentation
bin10100010001011…
…011110000000010
3212200222121021220
4110101123300002
51144032130214
653425455510
711266632162
oct2421336002
9780877256
10340114434
11164a93010
1295aa1596
135560475a
14332565a2
151ecd49a9
hex1445bc02

340114434 has 128 divisors (see below), whose sum is σ = 808980480. Its totient is φ = 94348800.

The previous prime is 340114399. The next prime is 340114457. The reversal of 340114434 is 434411043.

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 63 ways as a sum of consecutive naturals, for example, 4305207 + ... + 4305285.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2340114434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340114434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490240).

340114434 is an abundant number, since it is smaller than the sum of its proper divisors (468866046).

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

340114434 is a wasteful number, since it uses less digits than its factorization.

340114434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 340114434 is about 18442.1916810340. The cubic root of 340114434 is about 698.0314994145.

Adding to 340114434 its reverse (434411043), we get a palindrome (774525477).

The spelling of 340114434 in words is "three hundred forty million, one hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 41 43 66 74 79 82 86 111 123 129 158 222 237 246 258 407 451 473 474 814 869 902 946 1221 1353 1419 1517 1591 1738 1763 2442 2607 2706 2838 2923 3034 3182 3239 3397 3526 4551 4773 5214 5289 5846 6478 6794 8769 9102 9546 9717 10191 10578 16687 17501 17538 19393 19434 20382 32153 33374 35002 35629 37367 38786 50061 52503 58179 64306 65231 71258 74734 96459 100122 105006 106887 112101 116358 119843 125689 130462 139277 192918 195693 213774 224202 239686 251378 278554 359529 377067 391386 417831 717541 719058 754134 835662 1318273 1382579 1435082 1532047 2152623 2636546 2765158 3064094 3954819 4147737 4305246 4596141 5153249 7909638 8295474 9192282 10306498 15459747 30919494 56685739 113371478 170057217 340114434