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34499040 = 2535411753
BaseRepresentation
bin1000001110011…
…0100111100000
32101220201210020
42003212213200
532312432130
63231233440
7566144202
oct203464740
971821706
1034499040
1118523704
12b678880
1371bba44
144820772
153066e10
hex20e69e0

34499040 has 96 divisors (see below), whose sum is σ = 111386016. Its totient is φ = 8970240.

The previous prime is 34498991. The next prime is 34499051. The reversal of 34499040 is 4099443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34498992 and 34499010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18804 + ... + 20556.

It is an arithmetic number, because the mean of its divisors is an integer number (1160271).

Almost surely, 234499040 is an apocalyptic number.

34499040 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 34499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55693008).

34499040 is an abundant number, since it is smaller than the sum of its proper divisors (76886976).

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

34499040 is a wasteful number, since it uses less digits than its factorization.

34499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34499040 is about 5873.5883410399. The cubic root of 34499040 is about 325.5384840329.

The spelling of 34499040 in words is "thirty-four million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1753 1968 2460 3280 3506 3936 4920 5259 6560 7012 8765 9840 10518 14024 17530 19680 21036 26295 28048 35060 42072 52590 56096 70120 71873 84144 105180 140240 143746 168288 210360 215619 280480 287492 359365 420720 431238 574984 718730 841440 862476 1078095 1149968 1437460 1724952 2156190 2299936 2874920 3449904 4312380 5749840 6899808 8624760 11499680 17249520 34499040