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345709104 = 243132192243
BaseRepresentation
bin10100100110110…
…001101000110000
3220002111211201220
4110212301220300
51202000142404
654145425040
711365323156
oct2446615060
9802454656
10345709104
11168164404
129793b180
1356813100
1433cb13d6
152053c4d9
hex149b1a30

345709104 has 120 divisors (see below), whose sum is σ = 1018416960. Its totient is φ = 100728576.

The previous prime is 345709103. The next prime is 345709129. The reversal of 345709104 is 401907543.

It is not an unprimeable number, because it can be changed into a prime (345709103) 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, 153007 + ... + 155249.

It is an arithmetic number, because the mean of its divisors is an integer number (8486808).

Almost surely, 2345709104 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 345709104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509208480).

345709104 is an abundant number, since it is smaller than the sum of its proper divisors (672707856).

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

345709104 is a wasteful number, since it uses less digits than its factorization.

345709104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 345709104 is about 18593.2542606183. The cubic root of 345709104 is about 701.8380970938.

The spelling of 345709104 in words is "three hundred forty-five million, seven hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 169 208 228 247 304 312 338 456 494 507 624 676 741 912 988 1014 1352 1482 1976 2028 2243 2704 2964 3211 3952 4056 4486 5928 6422 6729 8112 8972 9633 11856 12844 13458 17944 19266 25688 26916 29159 35888 38532 42617 51376 53832 58318 77064 85234 87477 107664 116636 127851 154128 170468 174954 233272 255702 340936 349908 379067 466544 511404 554021 681872 699816 758134 1022808 1108042 1137201 1399632 1516268 1662063 2045616 2216084 2274402 3032536 3324126 4432168 4548804 6065072 6648252 7202273 8864336 9097608 13296504 14404546 18195216 21606819 26593008 28809092 43213638 57618184 86427276 115236368 172854552 345709104