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342945904 = 24726171101
BaseRepresentation
bin10100011100001…
…111000001110000
3212220022110100011
4110130033001300
51200243232104
654010304304
711332664200
oct2434170160
9786273304
10342945904
11166647374
1296a28094
1356086492
1433792400
1520193904
hex1470f070

342945904 has 120 divisors (see below), whose sum is σ = 804564576. Its totient is φ = 141120000.

The previous prime is 342945871. The next prime is 342945907. The reversal of 342945904 is 409549243.

342945904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3429459042 = 235223786140754432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342945907) 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, 3395454 + ... + 3395554.

Almost surely, 2342945904 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 342945904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402282288).

342945904 is an abundant number, since it is smaller than the sum of its proper divisors (461618672).

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

342945904 is a wasteful number, since it uses less digits than its factorization.

342945904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 342945904 is about 18518.7986651402. The cubic root of 342945904 is about 699.9631980652.

The spelling of 342945904 in words is "three hundred forty-two million, nine hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 71 98 101 112 122 142 196 202 244 284 392 404 427 488 497 568 707 784 808 854 976 994 1136 1414 1616 1708 1988 2828 2989 3416 3479 3976 4331 4949 5656 5978 6161 6832 6958 7171 7952 8662 9898 11312 11956 12322 13916 14342 17324 19796 23912 24644 27832 28684 30317 34648 39592 43127 47824 49288 50197 55664 57368 60634 69296 79184 86254 98576 100394 114736 121268 172508 200788 212219 242536 301889 345016 351379 401576 424438 437431 485072 603778 690032 702758 803152 848876 874862 1207556 1405516 1697752 1749724 2415112 2811032 3062017 3395504 3499448 4830224 5622064 6124034 6998896 12248068 21434119 24496136 42868238 48992272 85736476 171472952 342945904