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34120440 = 2334510531
BaseRepresentation
bin1000001000101…
…0001011111000
32101012111110000
42002022023320
532213323230
63215153000
7563006334
oct202121370
971174400
1034120440
1118295212
12b515760
1370b8613
1447627c4
152edeb60
hex208a2f8

34120440 has 80 divisors (see below), whose sum is σ = 114693480. Its totient is φ = 9097920.

The previous prime is 34120439. The next prime is 34120451. The reversal of 34120440 is 4402143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2026 + ... + 8505.

Almost surely, 234120440 is an apocalyptic number.

34120440 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 34120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57346740).

34120440 is an abundant number, since it is smaller than the sum of its proper divisors (80573040).

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

34120440 is a wasteful number, since it uses less digits than its factorization.

34120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34120440 is about 5841.2704097653. The cubic root of 34120440 is about 324.3432576109.

Adding to 34120440 its reverse (4402143), we get a palindrome (38522583).

The spelling of 34120440 in words is "thirty-four million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 10531 21062 31593 42124 52655 63186 84248 94779 105310 126372 157965 189558 210620 252744 284337 315930 379116 421240 473895 568674 631860 758232 853011 947790 1137348 1263720 1421685 1706022 1895580 2274696 2843370 3412044 3791160 4265055 5686740 6824088 8530110 11373480 17060220 34120440