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34768480 = 2551911437
BaseRepresentation
bin1000010010100…
…0011001100000
32102102102101111
42010220121200
532400042410
63241113104
7601345555
oct204503140
972372344
1034768480
111869808a
12b788794
137284586
144890a2c
1530bbb8a
hex2128660

34768480 has 48 divisors (see below), whose sum is σ = 86471280. Its totient is φ = 13174272.

The previous prime is 34768469. The next prime is 34768483. The reversal of 34768480 is 8486743.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 8758.

It is an arithmetic number, because the mean of its divisors is an integer number (1801485).

Almost surely, 234768480 is an apocalyptic number.

It is an amenable number.

34768480 is an abundant number, since it is smaller than the sum of its proper divisors (51702800).

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

34768480 is a wasteful number, since it uses less digits than its factorization.

34768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11471 (or 11463 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 34768480 is about 5896.4803060809. The cubic root of 34768480 is about 326.3837802718.

The spelling of 34768480 in words is "thirty-four million, seven hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 11437 22874 45748 57185 91496 114370 182992 217303 228740 365984 434606 457480 869212 914960 1086515 1738424 1829920 2173030 3476848 4346060 6953696 8692120 17384240 34768480