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340414424 = 23759197523
BaseRepresentation
bin10100010010100…
…100111111011000
3212201112211210122
4110102210333120
51144121230144
653440132412
711302321610
oct2422447730
9781484718
10340414424
11165178439
1296007108
13556ab16c
14332d3a40
151ed437ee
hex144a4fd8

340414424 has 64 divisors (see below), whose sum is σ = 747014400. Its totient is φ = 142418304.

The previous prime is 340414411. The next prime is 340414429. The reversal of 340414424 is 424414043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 340414393 and 340414402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340414429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650627 + ... + 651149.

It is an arithmetic number, because the mean of its divisors is an integer number (11672100).

Almost surely, 2340414424 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 340414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373507200).

340414424 is an abundant number, since it is smaller than the sum of its proper divisors (406599976).

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

340414424 is a wasteful number, since it uses less digits than its factorization.

340414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 340414424 is about 18450.3231408016. The cubic root of 340414424 is about 698.2366665706.

Adding to 340414424 its reverse (424414043), we get a palindrome (764828467).

The spelling of 340414424 in words is "three hundred forty million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 197 236 394 413 472 523 788 826 1046 1379 1576 1652 2092 2758 3304 3661 4184 5516 7322 11032 11623 14644 23246 29288 30857 46492 61714 81361 92984 103031 123428 162722 206062 215999 246856 325444 412124 431998 650888 721217 824248 863996 1442434 1727992 2884868 5769736 6078829 12157658 24315316 42551803 48630632 85103606 170207212 340414424