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342240312 = 233192113557
BaseRepresentation
bin10100011001100…
…010110000111000
3212211222121110010
4110121202300320
51200103142222
653543221520
711323665111
oct2431426070
9784877403
10342240312
11166205237
12967478a0
1355b9a27b
143364b208
15200a480c
hex14662c38

342240312 has 64 divisors (see below), whose sum is σ = 905155200. Its totient is φ = 107533440.

The previous prime is 342240307. The next prime is 342240313. The reversal of 342240312 is 213042243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342240313) 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, 94438 + ... + 97994.

It is an arithmetic number, because the mean of its divisors is an integer number (14143050).

Almost surely, 2342240312 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 342240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452577600).

342240312 is an abundant number, since it is smaller than the sum of its proper divisors (562914888).

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

342240312 is a wasteful number, since it uses less digits than its factorization.

342240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

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

The square root of 342240312 is about 18499.7381603092. The cubic root of 342240312 is about 699.4828234340.

Adding to 342240312 its reverse (213042243), we get a palindrome (555282555).

It can be divided in two parts, 3422 and 40312, that added together give a palindrome (43734).

The spelling of 342240312 in words is "three hundred forty-two million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 211 228 422 456 633 844 1266 1688 2532 3557 4009 5064 7114 8018 10671 12027 14228 16036 21342 24054 28456 32072 42684 48108 67583 85368 96216 135166 202749 270332 405498 540664 750527 810996 1501054 1621992 2251581 3002108 4503162 6004216 9006324 14260013 18012648 28520026 42780039 57040052 85560078 114080104 171120156 342240312