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34307220 = 2235833
BaseRepresentation
bin1000001011011…
…1110010010100
32101112222122210
42002313302110
532240312340
63223153420
7564415023
oct202676224
971488583
1034307220
1118402582
12b5a5870
13715263c
1447b08ba
15302a180
hex20b7c94

34307220 has 48 divisors (see below), whose sum is σ = 97231680. Its totient is φ = 9038368.

The previous prime is 34307219. The next prime is 34307233. The reversal of 34307220 is 2270343.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 415 × 249 × 332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413299 + ... + 413381.

It is an arithmetic number, because the mean of its divisors is an integer number (2025660).

Almost surely, 234307220 is an apocalyptic number.

34307220 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 34307220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48615840).

34307220 is an abundant number, since it is smaller than the sum of its proper divisors (62924460).

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

34307220 is an frugal number, since it uses more digits than its factorization.

34307220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 93 counting only the distinct ones).

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

The square root of 34307220 is about 5857.2365497733. The cubic root of 34307220 is about 324.9340142170.

Adding to 34307220 its reverse (2270343), we get a palindrome (36577563).

The spelling of 34307220 in words is "thirty-four million, three hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 6889 13778 20667 27556 34445 41334 68890 82668 103335 137780 206670 413340 571787 1143574 1715361 2287148 2858935 3430722 5717870 6861444 8576805 11435740 17153610 34307220