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34972650 = 232522331109
BaseRepresentation
bin1000010101101…
…0001111101010
32102210210110100
42011122033222
532423111100
63245330230
7603156036
oct205321752
972723410
1034972650
1118817519
12b866976
13732649b
1449051c6
15310c400
hex215a3ea

34972650 has 144 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 8553600.

The previous prime is 34972607. The next prime is 34972667. The reversal of 34972650 is 5627943.

34972650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320796 + ... + 320904.

It is an arithmetic number, because the mean of its divisors is an integer number (709280).

Almost surely, 234972650 is an apocalyptic number.

34972650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34972650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

34972650 is an abundant number, since it is smaller than the sum of its proper divisors (67163670).

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

34972650 is a wasteful number, since it uses less digits than its factorization.

34972650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34972650 is about 5913.7678344690. The cubic root of 34972650 is about 327.0214053266.

The spelling of 34972650 in words is "thirty-four million, nine hundred seventy-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 31 45 46 50 62 69 75 90 93 109 115 138 150 155 186 207 218 225 230 279 310 327 345 414 450 465 545 558 575 654 690 713 775 930 981 1035 1090 1150 1395 1426 1550 1635 1725 1962 2070 2139 2325 2507 2725 2790 3270 3379 3450 3565 4278 4650 4905 5014 5175 5450 6417 6758 6975 7130 7521 8175 9810 10137 10350 10695 12535 12834 13950 15042 16350 16895 17825 20274 21390 22563 24525 25070 30411 32085 33790 35650 37605 45126 49050 50685 53475 60822 62675 64170 75210 77717 84475 101370 106950 112815 125350 152055 155434 160425 168950 188025 225630 233151 253425 304110 320850 376050 388585 466302 506850 564075 699453 760275 777170 1128150 1165755 1398906 1520550 1942925 2331510 3497265 3885850 5828775 6994530 11657550 17486325 34972650