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345006040 = 2352959712
BaseRepresentation
bin10100100100000…
…101111111011000
3220001012010022111
4110210011333120
51201310143130
654122402104
711356334341
oct2444057730
9801163274
10345006040
11167824165
1297660334
13566280b2
1433b6b0c8
152044e02a
hex14905fd8

345006040 has 96 divisors (see below), whose sum is σ = 828306000. Its totient is φ = 129140480.

The previous prime is 345006031. The next prime is 345006043. The reversal of 345006040 is 40600543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345006043) 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, 4859205 + ... + 4859275.

Almost surely, 2345006040 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 345006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414153000).

345006040 is an abundant number, since it is smaller than the sum of its proper divisors (483299960).

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

345006040 is a wasteful number, since it uses less digits than its factorization.

345006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 345006040 is about 18574.3382116295. The cubic root of 345006040 is about 701.3620012746.

Adding to 345006040 its reverse (40600543), we get a palindrome (385606583).

The spelling of 345006040 in words is "three hundred forty-five million, six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 71 116 118 142 145 232 236 284 290 295 355 472 568 580 590 710 1160 1180 1420 1711 2059 2360 2840 3422 4118 4189 5041 6844 8236 8378 8555 10082 10295 13688 16472 16756 17110 20164 20590 20945 25205 33512 34220 40328 41180 41890 50410 68440 82360 83780 100820 121481 146189 167560 201640 242962 292378 297419 485924 584756 594838 607405 730945 971848 1169512 1189676 1214810 1461890 1487095 2379352 2429620 2923780 2974190 4859240 5847560 5948380 8625151 11896760 17250302 34500604 43125755 69001208 86251510 172503020 345006040