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34068480 = 211351109
BaseRepresentation
bin1000000111110…
…1100000000000
32101002212011120
42001331200000
532210142410
63214112240
7562402005
oct201754000
971085146
1034068480
111825a176
12b4ab680
13709aa84
14474b8ac
152ece570
hex207d800

34068480 has 96 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 9076736.

The previous prime is 34068431. The next prime is 34068511. The reversal of 34068480 is 8486043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×340684802 = 2321322659020800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30166 + ... + 31274.

Almost surely, 234068480 is an apocalyptic number.

34068480 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 34068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545400).

34068480 is an abundant number, since it is smaller than the sum of its proper divisors (75022320).

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

34068480 is a wasteful number, since it uses less digits than its factorization.

34068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34068480 is about 5836.8210525936. The cubic root of 34068480 is about 324.1785329116.

The spelling of 34068480 in words is "thirty-four million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1109 1280 1536 1920 2048 2218 2560 3072 3327 3840 4436 5120 5545 6144 6654 7680 8872 10240 11090 13308 15360 16635 17744 22180 26616 30720 33270 35488 44360 53232 66540 70976 88720 106464 133080 141952 177440 212928 266160 283904 354880 425856 532320 567808 709760 851712 1064640 1135616 1419520 1703424 2129280 2271232 2839040 3406848 4258560 5678080 6813696 8517120 11356160 17034240 34068480