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3435053040 = 243259115237
BaseRepresentation
bin1100110010111110…
…1011111111110000
322212101122202220200
43030233223333300
524013333144130
61324505035200
7151060316616
oct31457537760
98771582820
103435053040
111502aa8211
127ba485b00
13429879a83
142482d36b6
1515187d760
hexccbebff0

3435053040 has 120 divisors (see below), whose sum is σ = 11550921408. Its totient is φ = 914833920.

The previous prime is 3435053029. The next prime is 3435053051. The reversal of 3435053040 is 403505343.

It is a happy number.

3435053040 is a `hidden beast` number, since 3 + 4 + 350 + 5 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3435053029) and next prime (3435053051).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34350530402 = 23599178775226483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3435052995 and 3435053013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653302 + ... + 658538.

Almost surely, 23435053040 is an apocalyptic number.

3435053040 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 3435053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775460704).

3435053040 is an abundant number, since it is smaller than the sum of its proper divisors (8115868368).

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

3435053040 is a wasteful number, since it uses less digits than its factorization.

3435053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3435053040 is about 58609.3255378357. The cubic root of 3435053040 is about 1508.8444941179.

Adding to 3435053040 its reverse (403505343), we get a palindrome (3838558383).

The spelling of 3435053040 in words is "three billion, four hundred thirty-five million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 911 1822 2733 3644 4555 5237 5466 7288 8199 9110 10474 10932 13665 14576 15711 16398 18220 20948 21864 26185 27330 31422 32796 36440 40995 41896 43728 47133 52370 54660 62844 65592 72880 78555 81990 83792 94266 104740 109320 125688 131184 157110 163980 188532 209480 218640 235665 251376 314220 327960 377064 418960 471330 628440 655920 754128 942660 1256880 1885320 3770640 4770907 9541814 14312721 19083628 23854535 28625442 38167256 42938163 47709070 57250884 71563605 76334512 85876326 95418140 114501768 143127210 171752652 190836280 214690815 229003536 286254420 343505304 381672560 429381630 572508840 687010608 858763260 1145017680 1717526520 3435053040