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342895536 = 243229157523
BaseRepresentation
bin10100011100000…
…010101110110000
3212220012220020200
4110130002232300
51200240124121
654005235200
711332364304
oct2434025660
9786186220
10342895536
11166612545
1296a02b00
1356069589
143377bd04
1520183a26
hex14702bb0

342895536 has 120 divisors (see below), whose sum is σ = 1000955280. Its totient is φ = 109444608.

The previous prime is 342895447. The next prime is 342895537. The reversal of 342895536 is 635598243.

342895536 is a `hidden beast` number, since 3 + 4 + 28 + 95 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 342895491 and 342895500.

It is not an unprimeable number, because it can be changed into a prime (342895537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655371 + ... + 655893.

It is an arithmetic number, because the mean of its divisors is an integer number (8341294).

Almost surely, 2342895536 is an apocalyptic number.

342895536 is a gapful number since it is divisible by the number (36) 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 342895536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500477640).

342895536 is an abundant number, since it is smaller than the sum of its proper divisors (658059744).

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

342895536 is a wasteful number, since it uses less digits than its factorization.

342895536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 714 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 342895536 is about 18517.4386997770. The cubic root of 342895536 is about 699.9289288388.

The spelling of 342895536 in words is "three hundred forty-two million, eight hundred ninety-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 157 174 232 261 314 348 464 471 522 523 628 696 942 1044 1046 1256 1392 1413 1569 1884 2088 2092 2512 2826 3138 3768 4176 4184 4553 4707 5652 6276 7536 8368 9106 9414 11304 12552 13659 15167 18212 18828 22608 25104 27318 30334 36424 37656 40977 45501 54636 60668 72848 75312 81954 82111 91002 109272 121336 136503 163908 164222 182004 218544 242672 246333 273006 327816 328444 364008 492666 546012 655632 656888 728016 738999 985332 1092024 1313776 1477998 1970664 2184048 2381219 2955996 3941328 4762438 5911992 7143657 9524876 11823984 14287314 19049752 21430971 28574628 38099504 42861942 57149256 85723884 114298512 171447768 342895536