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342505380 = 223571635003
BaseRepresentation
bin10100011010100…
…011011110100100
3212212111002001110
4110122203132210
51200140133010
653553025020
711326150650
oct2432433644
9785432043
10342505380
111663763a8
1296855170
1355c60b09
14336b9a60
1520108120
hex146a37a4

342505380 has 96 divisors (see below), whose sum is σ = 1102961664. Its totient is φ = 77791104.

The previous prime is 342505379. The next prime is 342505439. The reversal of 342505380 is 83505243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65959 + ... + 70961.

It is an arithmetic number, because the mean of its divisors is an integer number (11489184).

Almost surely, 2342505380 is an apocalyptic number.

342505380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342505380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551480832).

342505380 is an abundant number, since it is smaller than the sum of its proper divisors (760456284).

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

342505380 is a wasteful number, since it uses less digits than its factorization.

342505380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 342505380 is about 18506.9008750790. The cubic root of 342505380 is about 699.6633619424.

The spelling of 342505380 in words is "three hundred forty-two million, five hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1630 1956 2282 2445 3260 3423 4564 4890 5003 5705 6846 9780 10006 11410 13692 15009 17115 20012 22820 25015 30018 34230 35021 50030 60036 68460 70042 75045 100060 105063 140084 150090 175105 210126 300180 350210 420252 525315 700420 815489 1050630 1630978 2101260 2446467 3261956 4077445 4892934 5708423 8154890 9785868 11416846 12232335 16309780 17125269 22833692 24464670 28542115 34250538 48929340 57084230 68501076 85626345 114168460 171252690 342505380