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34226430 = 2357349467
BaseRepresentation
bin1000001010010…
…0000011111110
32101101212211120
42002210003332
532230221210
63221331410
7563630340
oct202440376
971355746
1034226430
1118357907
12b566b66
137124934
14478d290
153011270
hex20a40fe

34226430 has 64 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 7784064.

The previous prime is 34226419. The next prime is 34226441. The reversal of 34226430 is 3462243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34226419) and next prime (34226441).

It is a self number, because there is not a number n which added to its sum of digits gives 34226430.

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 31 ways as a sum of consecutive naturals, for example, 73057 + ... + 73523.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 234226430 is an apocalyptic number.

34226430 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 34226430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

34226430 is an abundant number, since it is smaller than the sum of its proper divisors (60122370).

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

34226430 is a wasteful number, since it uses less digits than its factorization.

34226430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34226430 is about 5850.3358877931. The cubic root of 34226430 is about 324.6787515980.

Adding to 34226430 its reverse (3462243), we get a palindrome (37688673).

The spelling of 34226430 in words is "thirty-four million, two hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 349 467 698 934 1047 1401 1745 2094 2335 2443 2802 3269 3490 4670 4886 5235 6538 7005 7329 9807 10470 12215 14010 14658 16345 19614 24430 32690 36645 49035 73290 98070 162983 325966 488949 814915 977898 1140881 1629830 2281762 2444745 3422643 4889490 5704405 6845286 11408810 17113215 34226430