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34949740 = 22572191877
BaseRepresentation
bin1000010101010…
…0101001101100
32102202122000211
42011110221230
532421342430
63245032204
7603032200
oct205245154
972678024
1034949740
1118801291
12b855664
137318c27
1448dab00
15310572a
hex2154a6c

34949740 has 72 divisors (see below), whose sum is σ = 89918640. Its totient is φ = 11346048.

The previous prime is 34949713. The next prime is 34949749. The reversal of 34949740 is 4794943.

It is a junction number, because it is equal to n+sod(n) for n = 34949693 and 34949702.

It is not an unprimeable number, because it can be changed into a prime (34949749) by changing a digit.

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, 17682 + ... + 19558.

It is an arithmetic number, because the mean of its divisors is an integer number (1248870).

Almost surely, 234949740 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 34949740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44959320).

34949740 is an abundant number, since it is smaller than the sum of its proper divisors (54968900).

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

34949740 is a wasteful number, since it uses less digits than its factorization.

34949740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 34949740 is about 5911.8305117789. The cubic root of 34949740 is about 326.9499809710.

The spelling of 34949740 in words is "thirty-four million, nine hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 1877 2660 3724 3754 4655 7508 9310 9385 13139 18620 18770 26278 35663 37540 52556 65695 71326 91973 131390 142652 178315 183946 249641 262780 356630 367892 459865 499282 713260 919730 998564 1248205 1747487 1839460 2496410 3494974 4992820 6989948 8737435 17474870 34949740