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34479744 = 273136907
BaseRepresentation
bin1000001110000…
…1111010000000
32101212202022120
42003201322000
532311322434
63231004240
7566034015
oct203417200
971782276
1034479744
1118510162
12b669680
1371b3020
14481770c
153061349
hex20e1e80

34479744 has 64 divisors (see below), whose sum is σ = 98646240. Its totient is φ = 10607616.

The previous prime is 34479727. The next prime is 34479751. The reversal of 34479744 is 44797443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34479696 and 34479705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539 + ... + 8445.

Almost surely, 234479744 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 34479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49323120).

34479744 is an abundant number, since it is smaller than the sum of its proper divisors (64166496).

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

34479744 is a wasteful number, since it uses less digits than its factorization.

34479744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6925 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 34479744 is about 5871.9455038343. The cubic root of 34479744 is about 325.4777793284.

The spelling of 34479744 in words is "thirty-four million, four hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6907 13814 20721 27628 41442 55256 82884 89791 110512 165768 179582 221024 269373 331536 359164 442048 538746 663072 718328 884096 1077492 1326144 1436656 2154984 2652288 2873312 4309968 5746624 8619936 11493248 17239872 34479744