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342501705 = 32571383639
BaseRepresentation
bin10100011010100…
…010100101001001
3212212110220000100
4110122202211021
51200140023310
653553000013
711326134150
oct2432424511
9785426010
10342501705
11166373667
1296853009
1355c5c240
14336b8597
1520106ec0
hex146a2949

342501705 has 48 divisors (see below), whose sum is σ = 730679040. Its totient is φ = 144526464.

The previous prime is 342501697. The next prime is 342501713. The reversal of 342501705 is 507105243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342501697) and next prime (342501713).

It is not a de Polignac number, because 342501705 - 23 = 342501697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37725 + ... + 45914.

It is an arithmetic number, because the mean of its divisors is an integer number (15222480).

Almost surely, 2342501705 is an apocalyptic number.

342501705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342501705 is an abundant number, since it is smaller than the sum of its proper divisors (388177335).

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

342501705 is a wasteful number, since it uses less digits than its factorization.

342501705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83670 (or 83667 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 342501705 is about 18506.8015875245. The cubic root of 342501705 is about 699.6608595271.

Adding to 342501705 its reverse (507105243), we get a palindrome (849606948).

It can be divided in two parts, 342501 and 705, that added together give a triangular number (343206 = T828).

The spelling of 342501705 in words is "three hundred forty-two million, five hundred one thousand, seven hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 83639 250917 418195 585473 752751 1087307 1254585 1756419 2927365 3261921 3763755 5269257 5436535 7611149 8782095 9785763 16309605 22833447 26346285 38055745 48928815 68500341 114167235 342501705