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34996860 = 2235519379
BaseRepresentation
bin1000010110000…
…0001001111100
32102212000200000
42011200021330
532424344420
63250034300
7603316443
oct205401174
972760600
1034996860
1118833728
12b878990
137334502
14490dd5a
153114690
hex216027c

34996860 has 144 divisors (see below), whose sum is σ = 116188800. Its totient is φ = 8817984.

The previous prime is 34996849. The next prime is 34996873. The reversal of 34996860 is 6869943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92151 + ... + 92529.

Almost surely, 234996860 is an apocalyptic number.

34996860 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 34996860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58094400).

34996860 is an abundant number, since it is smaller than the sum of its proper divisors (81191940).

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

34996860 is a wasteful number, since it uses less digits than its factorization.

34996860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 34996860 is about 5915.8143987113. The cubic root of 34996860 is about 327.0968486804.

The spelling of 34996860 in words is "thirty-four million, nine hundred ninety-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 379 380 405 486 513 540 570 684 758 810 855 972 1026 1137 1140 1215 1516 1539 1620 1710 1895 2052 2274 2430 2565 3078 3411 3420 3790 4548 4617 4860 5130 5685 6156 6822 7201 7580 7695 9234 10233 10260 11370 13644 14402 15390 17055 18468 20466 21603 22740 23085 28804 30699 30780 34110 36005 40932 43206 46170 51165 61398 64809 68220 72010 86412 92097 92340 102330 108015 122796 129618 144020 153495 184194 194427 204660 216030 259236 306990 324045 368388 388854 432060 460485 583281 613980 648090 777708 920970 972135 1166562 1296180 1749843 1841940 1944270 2333124 2916405 3499686 3888540 5832810 6999372 8749215 11665620 17498430 34996860