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34266440 = 23513237137
BaseRepresentation
bin1000001010110…
…1110101001000
32101110220201102
42002231311020
532233011230
63222240532
7564155105
oct202556510
971426642
1034266440
111838497a
12b586148
137139c00
14479daac
15301d045
hex20add48

34266440 has 96 divisors (see below), whose sum is σ = 86368680. Its totient is φ = 12220416.

The previous prime is 34266409. The next prime is 34266451. The reversal of 34266440 is 4466243.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1387684 + 32878756 = 1178^2 + 5734^2 .

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 23 ways as a sum of consecutive naturals, for example, 250052 + ... + 250188.

Almost surely, 234266440 is an apocalyptic number.

34266440 is the 3380-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34266440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43184340).

34266440 is an abundant number, since it is smaller than the sum of its proper divisors (52102240).

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

34266440 is a wasteful number, since it uses less digits than its factorization.

34266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 34266440 is about 5853.7543508419. The cubic root of 34266440 is about 324.8052166165.

The spelling of 34266440 in words is "thirty-four million, two hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 137 148 169 185 260 274 296 338 370 481 520 548 676 685 740 845 962 1096 1352 1370 1480 1690 1781 1924 2405 2740 3380 3562 3848 4810 5069 5480 6253 6760 7124 8905 9620 10138 12506 14248 17810 19240 20276 23153 25012 25345 31265 35620 40552 46306 50024 50690 62530 65897 71240 92612 101380 115765 125060 131794 185224 202760 231530 250120 263588 329485 463060 527176 658970 856661 926120 1317940 1713322 2635880 3426644 4283305 6853288 8566610 17133220 34266440