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34452030 = 23517431571
BaseRepresentation
bin1000001101101…
…1001000111110
32101211100022010
42003123020332
532304431110
63230232050
7565560144
oct203331076
971740263
1034452030
11184a1358
12b655626
1371a3522
14480b594
153058020
hex20db23e

34452030 has 64 divisors (see below), whose sum is σ = 89641728. Its totient is φ = 8440320.

The previous prime is 34452023. The next prime is 34452031. The reversal of 34452030 is 3025443.

It is a happy number.

34452030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344520302 = 2373884742241800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34451988 and 34452006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34452031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21145 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (1400652).

Almost surely, 234452030 is an apocalyptic number.

34452030 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 34452030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44820864).

34452030 is an abundant number, since it is smaller than the sum of its proper divisors (55189698).

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

34452030 is a wasteful number, since it uses less digits than its factorization.

34452030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34452030 is about 5869.5851642173. The cubic root of 34452030 is about 325.3905521821.

Adding to 34452030 its reverse (3025443), we get a palindrome (37477473).

The spelling of 34452030 in words is "thirty-four million, four hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 1571 2193 3142 3655 4386 4713 7310 7855 9426 10965 15710 21930 23565 26707 47130 53414 67553 80121 133535 135106 160242 202659 267070 337765 400605 405318 675530 801210 1013295 1148401 2026590 2296802 3445203 5742005 6890406 11484010 17226015 34452030