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34263480 = 2335377717
BaseRepresentation
bin1000001010110…
…1000110111000
32101110202122210
42002231012320
532232412410
63222215120
7564143346
oct202550670
971422583
1034263480
1118382729
12b5844a0
137138764
14479c996
15301c220
hex20ad1b8

34263480 has 64 divisors (see below), whose sum is σ = 105582240. Its totient is φ = 8888832.

The previous prime is 34263469. The next prime is 34263527. The reversal of 34263480 is 8436243.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 8298.

Almost surely, 234263480 is an apocalyptic number.

34263480 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 34263480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52791120).

34263480 is an abundant number, since it is smaller than the sum of its proper divisors (71318760).

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

34263480 is a wasteful number, since it uses less digits than its factorization.

34263480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34263480 is about 5853.5015161867. The cubic root of 34263480 is about 324.7958639172.

It can be divided in two parts, 34263 and 480, that added together give a palindrome (34743).

The spelling of 34263480 in words is "thirty-four million, two hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 7717 15434 23151 30868 38585 46302 61736 77170 92604 115755 154340 185208 231510 285529 308680 463020 571058 856587 926040 1142116 1427645 1713174 2284232 2855290 3426348 4282935 5710580 6852696 8565870 11421160 17131740 34263480