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340314420 = 2235291311493
BaseRepresentation
bin10100010010001…
…100100100110100
3212201100202121210
4110102030210310
51144110030140
653434041420
711301424215
oct2422144464
9781322553
10340314420
1116510a296
1295b79270
13556747a4
14332a940c
151ed23d80
hex1448c934

340314420 has 96 divisors (see below), whose sum is σ = 993928320. Its totient is φ = 86894080.

The previous prime is 340314397. The next prime is 340314421. The reversal of 340314420 is 24413043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340314421) by changing a digit.

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, 227194 + ... + 228686.

It is an arithmetic number, because the mean of its divisors is an integer number (10353420).

Almost surely, 2340314420 is an apocalyptic number.

340314420 is a gapful number since it is divisible by the number (30) 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 340314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496964160).

340314420 is an abundant number, since it is smaller than the sum of its proper divisors (653613900).

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

340314420 is a wasteful number, since it uses less digits than its factorization.

340314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 340314420 is about 18447.6128537001. The cubic root of 340314420 is about 698.1682859014.

Adding to 340314420 its reverse (24413043), we get a palindrome (364727463).

The spelling of 340314420 in words is "three hundred forty million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 131 145 174 262 290 348 393 435 524 580 655 786 870 1310 1493 1572 1740 1965 2620 2986 3799 3930 4479 5972 7465 7598 7860 8958 11397 14930 15196 17916 18995 22395 22794 29860 37990 43297 44790 45588 56985 75980 86594 89580 113970 129891 173188 195583 216485 227940 259782 391166 432970 519564 586749 649455 782332 865940 977915 1173498 1298910 1955830 2346996 2597820 2933745 3911660 5671907 5867490 11343814 11734980 17015721 22687628 28359535 34031442 56719070 68062884 85078605 113438140 170157210 340314420