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34450840 = 23517291747
BaseRepresentation
bin1000001101101…
…0110110011000
32101211021200001
42003122312120
532304411330
63230222344
7565553524
oct203326630
971737601
1034450840
11184a0476
12b6549b4
1371a2b18
14480ad84
1530579ca
hex20dad98

34450840 has 64 divisors (see below), whose sum is σ = 84952800. Its totient is φ = 12515328.

The previous prime is 34450813. The next prime is 34450841. The reversal of 34450840 is 4805443.

It is a junction number, because it is equal to n+sod(n) for n = 34450799 and 34450808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34450841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18847 + ... + 20593.

Almost surely, 234450840 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 34450840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42476400).

34450840 is an abundant number, since it is smaller than the sum of its proper divisors (50501960).

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

34450840 is a wasteful number, since it uses less digits than its factorization.

34450840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 34450840 is about 5869.4837933161. The cubic root of 34450840 is about 325.3868057244.

The spelling of 34450840 in words is "thirty-four million, four hundred fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1747 1972 2465 3494 3944 4930 6988 8735 9860 13976 17470 19720 29699 34940 50663 59398 69880 101326 118796 148495 202652 237592 253315 296990 405304 506630 593980 861271 1013260 1187960 1722542 2026520 3445084 4306355 6890168 8612710 17225420 34450840