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34878984 = 2337319223
BaseRepresentation
bin1000010100001…
…1011000001000
32102122000222020
42011003120020
532412111414
63243324440
7602316000
oct205033010
972560866
1034878984
1118763108
12b820720
1372c296a
1448bd000
1530de7a9
hex2143608

34878984 has 128 divisors (see below), whose sum is σ = 107520000. Its totient is φ = 9398592.

The previous prime is 34878983. The next prime is 34878997. The reversal of 34878984 is 48987843.

It is not an unprimeable number, because it can be changed into a prime (34878983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156297 + ... + 156519.

It is an arithmetic number, because the mean of its divisors is an integer number (840000).

Almost surely, 234878984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34878984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760000).

34878984 is an abundant number, since it is smaller than the sum of its proper divisors (72641016).

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

34878984 is a wasteful number, since it uses less digits than its factorization.

34878984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 34878984 is about 5905.8432082134. The cubic root of 34878984 is about 326.7291943799.

The spelling of 34878984 in words is "thirty-four million, eight hundred seventy-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 223 228 266 294 343 392 399 446 456 532 588 669 686 798 892 931 1029 1064 1176 1338 1372 1561 1596 1784 1862 2058 2676 2744 2793 3122 3192 3724 4116 4237 4683 5352 5586 6244 6517 7448 8232 8474 9366 10927 11172 12488 12711 13034 16948 18732 19551 21854 22344 25422 26068 29659 32781 33896 37464 39102 43708 50844 52136 59318 65562 76489 78204 87416 88977 101688 118636 131124 152978 156408 177954 207613 229467 237272 262248 305956 355908 415226 458934 611912 622839 711816 830452 917868 1245678 1453291 1660904 1835736 2491356 2906582 4359873 4982712 5813164 8719746 11626328 17439492 34878984