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34828080 = 2435720731
BaseRepresentation
bin1000010011011…
…0111100110000
32102112110010220
42010312330300
532403444310
63242253040
7602014410
oct204667460
972473126
1034828080
1118728941
12b7b7180
1372a5741
1448a8640
1530ce670
hex2136f30

34828080 has 80 divisors (see below), whose sum is σ = 123396864. Its totient is φ = 7960320.

The previous prime is 34828061. The next prime is 34828163. The reversal of 34828080 is 8082843.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8686 + ... + 12045.

Almost surely, 234828080 is an apocalyptic number.

34828080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34828080 is an abundant number, since it is smaller than the sum of its proper divisors (88568784).

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

34828080 is a wasteful number, since it uses less digits than its factorization.

34828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20754 (or 20748 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 34828080 is about 5901.5320044883. The cubic root of 34828080 is about 326.5701691002.

The spelling of 34828080 in words is "thirty-four million, eight hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 20731 41462 62193 82924 103655 124386 145117 165848 207310 248772 290234 310965 331696 414620 435351 497544 580468 621930 725585 829240 870702 995088 1160936 1243860 1451170 1658480 1741404 2176755 2321872 2487720 2902340 3482808 4353510 4975440 5804680 6965616 8707020 11609360 17414040 34828080