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34223070 = 2357231751
BaseRepresentation
bin1000001010001…
…1001111011110
32101101201020010
42002203033132
532230114240
63221304050
7563614500
oct202431736
971351203
1034223070
1118355332
12b565026
13712324b
14478bd70
153010280
hex20a33de

34223070 has 96 divisors (see below), whose sum is σ = 98758656. Its totient is φ = 7560000.

The previous prime is 34223041. The next prime is 34223087. The reversal of 34223070 is 7032243.

It is a happy number.

34223070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45195 + ... + 45945.

It is an arithmetic number, because the mean of its divisors is an integer number (1028736).

Almost surely, 234223070 is an apocalyptic number.

34223070 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 34223070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49379328).

34223070 is an abundant number, since it is smaller than the sum of its proper divisors (64535586).

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

34223070 is a wasteful number, since it uses less digits than its factorization.

34223070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 34223070 is about 5850.0487177459. The cubic root of 34223070 is about 324.6681267066.

The spelling of 34223070 in words is "thirty-four million, two hundred twenty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 751 930 1085 1302 1470 1502 1519 2170 2253 3038 3255 3755 4506 4557 5257 6510 7510 7595 9114 10514 11265 15190 15771 22530 22785 23281 26285 31542 36799 45570 46562 52570 69843 73598 78855 110397 116405 139686 157710 162967 183995 220794 232810 325934 349215 367990 488901 551985 698430 814835 977802 1103970 1140769 1629670 2281538 2444505 3422307 4889010 5703845 6844614 11407690 17111535 34223070