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34498984 = 23132171979
BaseRepresentation
bin1000001110011…
…0100110101000
32101220201201011
42003212212220
532312431414
63231233304
7566144062
oct203464650
971821634
1034498984
1118523663
12b678834
1371bba00
144820732
153066dc4
hex20e69a8

34498984 has 96 divisors (see below), whose sum is σ = 79056000. Its totient is φ = 14017536.

The previous prime is 34498973. The next prime is 34498991. The reversal of 34498984 is 48989443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436657 + ... + 436735.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 234498984 is an apocalyptic number.

34498984 is a gapful number since it is divisible by the number (34) 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 34498984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528000).

34498984 is an abundant number, since it is smaller than the sum of its proper divisors (44557016).

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

34498984 is a wasteful number, since it uses less digits than its factorization.

34498984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 34498984 is about 5873.5835739351. The cubic root of 34498984 is about 325.5383078912.

The spelling of 34498984 in words is "thirty-four million, four hundred ninety-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 79 104 136 152 158 169 221 247 316 323 338 442 494 632 646 676 884 988 1027 1292 1343 1352 1501 1768 1976 2054 2584 2686 2873 3002 3211 4108 4199 5372 5746 6004 6422 8216 8398 10744 11492 12008 12844 13351 16796 17459 19513 22984 25517 25688 26702 33592 34918 39026 51034 53404 54587 69836 78052 102068 106808 109174 139672 156104 204136 218348 226967 253669 331721 436696 453934 507338 663442 907868 1014676 1326884 1815736 2029352 2653768 4312373 8624746 17249492 34498984