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345258648 = 233273172161
BaseRepresentation
bin10100100101000…
…011101010011000
3220001122221211100
4110211003222120
51201341234043
654132031400
711361435660
oct2445035230
9801587740
10345258648
11167986a29
1297762560
13566b6077
1433bd51a0
152049dcd3
hex14943a98

345258648 has 96 divisors (see below), whose sum is σ = 1072524960. Its totient is φ = 98288640.

The previous prime is 345258643. The next prime is 345258649. The reversal of 345258648 is 846852543.

345258648 is a `hidden beast` number, since 3 + 4 + 525 + 86 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345258643) 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, 158688 + ... + 160848.

It is an arithmetic number, because the mean of its divisors is an integer number (11172135).

Almost surely, 2345258648 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 345258648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536262480).

345258648 is an abundant number, since it is smaller than the sum of its proper divisors (727266312).

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

345258648 is a wasteful number, since it uses less digits than its factorization.

345258648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2490 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 345258648 is about 18581.1368866386. The cubic root of 345258648 is about 701.5331349256.

The spelling of 345258648 in words is "three hundred forty-five million, two hundred fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 317 504 634 951 1268 1902 2161 2219 2536 2853 3804 4322 4438 5706 6483 6657 7608 8644 8876 11412 12966 13314 15127 17288 17752 19449 19971 22824 25932 26628 30254 38898 39942 45381 51864 53256 60508 77796 79884 90762 121016 136143 155592 159768 181524 272286 363048 544572 685037 1089144 1370074 2055111 2740148 4110222 4795259 5480296 6165333 8220444 9590518 12330666 14385777 16440888 19181036 24661332 28771554 38362072 43157331 49322664 57543108 86314662 115086216 172629324 345258648