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34299408 = 243111319263
BaseRepresentation
bin1000001011010…
…1111000010000
32101112120221110
42002311320100
532240040113
63223053320
7564353163
oct202657020
971476843
1034299408
11183a7720
12b5a1240
13714bc10
1447abada
153027bc3
hex20b5e10

34299408 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 9054720.

The previous prime is 34299379. The next prime is 34299413. The reversal of 34299408 is 80499243.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130285 + ... + 130547.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 234299408 is an apocalyptic number.

34299408 is a gapful number since it is divisible by the number (38) 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 34299408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

34299408 is an abundant number, since it is smaller than the sum of its proper divisors (75693552).

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

34299408 is a wasteful number, since it uses less digits than its factorization.

34299408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34299408 is about 5856.5696444250. The cubic root of 34299408 is about 324.9093490764.

The spelling of 34299408 in words is "thirty-four million, two hundred ninety-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 263 264 286 304 312 418 429 456 494 526 528 572 624 627 741 789 836 858 912 988 1052 1144 1254 1482 1578 1672 1716 1976 2104 2288 2508 2717 2893 2964 3156 3344 3419 3432 3952 4208 4997 5016 5434 5786 5928 6312 6838 6864 8151 8679 9994 10032 10257 10868 11572 11856 12624 13676 14991 16302 17358 19988 20514 21736 23144 27352 29982 32604 34716 37609 39976 41028 43472 46288 54704 54967 59964 64961 65208 69432 75218 79952 82056 109934 112827 119928 129922 130416 138864 150436 164112 164901 194883 219868 225654 239856 259844 300872 329802 389766 439736 451308 519688 601744 659604 714571 779532 879472 902616 1039376 1319208 1429142 1559064 1805232 2143713 2638416 2858284 3118128 4287426 5716568 8574852 11433136 17149704 34299408