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342741880 = 23513797827
BaseRepresentation
bin10100011011011…
…101001101111000
3212212221002110201
4110123131031320
51200220220010
654002051544
711331154315
oct2433351570
9785832421
10342741880
11166518058
1296949bb4
1356014660
143373bd0c
152015323a
hex146dd378

342741880 has 64 divisors (see below), whose sum is σ = 832537440. Its totient is φ = 126239232.

The previous prime is 342741877. The next prime is 342741881. The reversal of 342741880 is 88147243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342741881) 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, 414027 + ... + 414853.

Almost surely, 2342741880 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 342741880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416268720).

342741880 is an abundant number, since it is smaller than the sum of its proper divisors (489795560).

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

342741880 is a wasteful number, since it uses less digits than its factorization.

342741880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 342741880 is about 18513.2892809463. The cubic root of 342741880 is about 699.8243640984.

The spelling of 342741880 in words is "three hundred forty-two million, seven hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 797 827 1594 1654 3188 3308 3985 4135 6376 6616 7970 8270 10361 10751 15940 16540 20722 21502 31880 33080 41444 43004 51805 53755 82888 86008 103610 107510 207220 215020 414440 430040 659119 1318238 2636476 3295595 5272952 6591190 8568547 13182380 17137094 26364760 34274188 42842735 68548376 85685470 171370940 342741880