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34984440 = 23335291117
BaseRepresentation
bin1000010101110…
…1000111111000
32102211101122000
42011131013320
532424000230
63245501000
7603235311
oct205350770
972741560
1034984440
1118825367
12b871760
13732b96a
144909608
153110b60
hex215d1f8

34984440 has 128 divisors (see below), whose sum is σ = 120744000. Its totient is φ = 8999424.

The previous prime is 34984421. The next prime is 34984441. The reversal of 34984440 is 4448943.

34984440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×349844402 = 2447822084227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34984395 and 34984404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34984441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30762 + ... + 31878.

Almost surely, 234984440 is an apocalyptic number.

34984440 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 34984440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60372000).

34984440 is an abundant number, since it is smaller than the sum of its proper divisors (85759560).

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

34984440 is a wasteful number, since it uses less digits than its factorization.

34984440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34984440 is about 5914.7645768872. The cubic root of 34984440 is about 327.0581497463.

The spelling of 34984440 in words is "thirty-four million, nine hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1117 1160 1305 1566 1740 2088 2234 2610 3132 3351 3480 3915 4468 5220 5585 6264 6702 7830 8936 10053 10440 11170 13404 15660 16755 20106 22340 26808 30159 31320 32393 33510 40212 44680 50265 60318 64786 67020 80424 97179 100530 120636 129572 134040 150795 161965 194358 201060 241272 259144 291537 301590 323930 388716 402120 485895 583074 603180 647860 777432 874611 971790 1166148 1206360 1295720 1457685 1749222 1943580 2332296 2915370 3498444 3887160 4373055 5830740 6996888 8746110 11661480 17492220 34984440