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345500080 = 24537151773
BaseRepresentation
bin10100100101111…
…110100110110000
3220002010020000021
4110211332212300
51201422000310
654141133224
711363462602
oct2445764660
9802106007
10345500080
11168031362
129785a214
135676bc23
1433c59172
15204ea5da
hex1497e9b0

345500080 has 80 divisors (see below), whose sum is σ = 831536064. Its totient is φ = 133401600.

The previous prime is 345500069. The next prime is 345500081. The reversal of 345500080 is 80005543.

It is a happy number.

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 (345500081) 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, 446574 + ... + 447346.

Almost surely, 2345500080 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 345500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415768032).

345500080 is an abundant number, since it is smaller than the sum of its proper divisors (486035984).

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

345500080 is a wasteful number, since it uses less digits than its factorization.

345500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 345500080 is about 18587.6324474098. The cubic root of 345500080 is about 701.6966192048.

The spelling of 345500080 in words is "three hundred forty-five million, five hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 151 185 296 302 370 592 604 740 755 773 1208 1480 1510 1546 2416 2960 3020 3092 3865 5587 6040 6184 7730 11174 12080 12368 15460 22348 27935 28601 30920 44696 55870 57202 61840 89392 111740 114404 116723 143005 223480 228808 233446 286010 446960 457616 466892 572020 583615 933784 1144040 1167230 1867568 2288080 2334460 4318751 4668920 8637502 9337840 17275004 21593755 34550008 43187510 69100016 86375020 172750040 345500080