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345286320 = 24351784629
BaseRepresentation
bin10100100101001…
…010011010110000
3220001201100210020
4110211022122300
51201343130240
654132403440
711361612441
oct2445123260
9801640706
10345286320
111679a57a5
1297776580
13566c5842
1433c012c8
15204a70d0
hex1494a6b0

345286320 has 80 divisors (see below), whose sum is σ = 1133364960. Its totient is φ = 86659072.

The previous prime is 345286313. The next prime is 345286343. The reversal of 345286320 is 23682543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38235 + ... + 46394.

It is an arithmetic number, because the mean of its divisors is an integer number (14167062).

Almost surely, 2345286320 is an apocalyptic number.

345286320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345286320 is an abundant number, since it is smaller than the sum of its proper divisors (788078640).

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

345286320 is a wasteful number, since it uses less digits than its factorization.

345286320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84662 (or 84656 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 345286320 is about 18581.8814978462. The cubic root of 345286320 is about 701.5518767263.

The spelling of 345286320 in words is "three hundred forty-five million, two hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 84629 169258 253887 338516 423145 507774 677032 846290 1015548 1269435 1354064 1438693 1692580 2031096 2538870 2877386 3385160 4062192 4316079 5077740 5754772 6770320 7193465 8632158 10155480 11509544 14386930 17264316 20310960 21580395 23019088 28773860 34528632 43160790 57547720 69057264 86321580 115095440 172643160 345286320