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342295824 = 243134312757
BaseRepresentation
bin10100011001110…
…000010100010000
3212212002102121010
4110121300110100
51200111431244
653544330520
711324316003
oct2431602420
9785072533
10342295824
11166242a12
1296773a40
1355bb9610
143366353a
15200b5eb9
hex14670510

342295824 has 80 divisors (see below), whose sum is σ = 974507072. Its totient is φ = 102864384.

The previous prime is 342295823. The next prime is 342295829. The reversal of 342295824 is 428592243.

It is a super-2 number, since 2×3422958242 = 234332862255677952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (342295823) 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, 20454 + ... + 33210.

Almost surely, 2342295824 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 342295824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487253536).

342295824 is an abundant number, since it is smaller than the sum of its proper divisors (632211248).

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

342295824 is a wasteful number, since it uses less digits than its factorization.

342295824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824 (or 12818 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 342295824 is about 18501.2384450339. The cubic root of 342295824 is about 699.5206405174.

The spelling of 342295824 in words is "three hundred forty-two million, two hundred ninety-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 12757 13416 25514 26832 38271 51028 76542 102056 153084 165841 204112 306168 331682 497523 548551 612336 663364 995046 1097102 1326728 1645653 1990092 2194204 2653456 3291306 3980184 4388408 6582612 7131163 7960368 8776816 13165224 14262326 21393489 26330448 28524652 42786978 57049304 85573956 114098608 171147912 342295824