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345193520 = 24571932443
BaseRepresentation
bin10100100100110…
…011110000110000
3220001112122111012
4110210303300300
51201332143040
654130410052
711361045050
oct2444636060
9801478435
10345193520
11167942001
1297730928
1356692529
1433bb9560
1520489865
hex14933c30

345193520 has 80 divisors (see below), whose sum is σ = 965533440. Its totient is φ = 112119552.

The previous prime is 345193489. The next prime is 345193529. The reversal of 345193520 is 25391543.

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

It is not an unprimeable number, because it can be changed into a prime (345193529) 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, 5582 + ... + 26861.

It is an arithmetic number, because the mean of its divisors is an integer number (12069168).

Almost surely, 2345193520 is an apocalyptic number.

It is an amenable number.

345193520 is an abundant number, since it is smaller than the sum of its proper divisors (620339920).

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

345193520 is a wasteful number, since it uses less digits than its factorization.

345193520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32482 (or 32476 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 345193520 is about 18579.3842739742. The cubic root of 345193520 is about 701.4890208260.

The spelling of 345193520 in words is "three hundred forty-five million, one hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 32443 64886 129772 162215 227101 259544 324430 454202 519088 616417 648860 908404 1135505 1232834 1297720 1816808 2271010 2465668 2595440 3082085 3633616 4314919 4542020 4931336 6164170 8629838 9084040 9862672 12328340 17259676 18168080 21574595 24656680 34519352 43149190 49313360 69038704 86298380 172596760 345193520