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34445790 = 23351131129
BaseRepresentation
bin1000001101100…
…1100111011110
32101211000202000
42003121213132
532304231130
63230143130
7565533021
oct203314736
971730660
1034445790
11184976a5
12b651aa6
1371a0732
1448091b8
153056260
hex20d99de

34445790 has 64 divisors (see below), whose sum is σ = 92750400. Its totient is φ = 9096192.

The previous prime is 34445753. The next prime is 34445797. The reversal of 34445790 is 9754443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34445797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29946 + ... + 31074.

It is an arithmetic number, because the mean of its divisors is an integer number (1449225).

Almost surely, 234445790 is an apocalyptic number.

34445790 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 34445790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46375200).

34445790 is an abundant number, since it is smaller than the sum of its proper divisors (58304610).

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

34445790 is a wasteful number, since it uses less digits than its factorization.

34445790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34445790 is about 5869.0535863970. The cubic root of 34445790 is about 325.3709059315.

The spelling of 34445790 in words is "thirty-four million, four hundred forty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1129 1130 1695 2034 2258 3051 3387 3390 5085 5645 6102 6774 10161 10170 11290 15255 16935 20322 30483 30510 33870 50805 60966 101610 127577 152415 255154 304830 382731 637885 765462 1148193 1275770 1913655 2296386 3444579 3827310 5740965 6889158 11481930 17222895 34445790