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30440970 = 23257211229
BaseRepresentation
bin111010000011…
…1111000001010
32010021120011100
41310013320022
530243102340
63004242230
7516513120
oct164077012
963246140
1030440970
111620182a
12a240376
1363ca911
144085910
152a14830
hex1d07e0a

30440970 has 96 divisors (see below), whose sum is σ = 91278720. Its totient is φ = 6894720.

The previous prime is 30440959. The next prime is 30440987. The reversal of 30440970 is 7904403.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132816 + ... + 133044.

It is an arithmetic number, because the mean of its divisors is an integer number (950820).

Almost surely, 230440970 is an apocalyptic number.

30440970 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 30440970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45639360).

30440970 is an abundant number, since it is smaller than the sum of its proper divisors (60837750).

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

30440970 is a wasteful number, since it uses less digits than its factorization.

30440970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30440970 is about 5517.3335951345. Note that the first 3 decimals coincide. The cubic root of 30440970 is about 312.2382918228.

The spelling of 30440970 in words is "thirty million, four hundred forty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 211 229 315 422 458 630 633 687 1055 1145 1266 1374 1477 1603 1899 2061 2110 2290 2954 3165 3206 3435 3798 4122 4431 4809 6330 6870 7385 8015 8862 9495 9618 10305 13293 14427 14770 16030 18990 20610 22155 24045 26586 28854 44310 48090 48319 66465 72135 96638 132930 144270 144957 241595 289914 338233 434871 483190 676466 724785 869742 1014699 1449570 1691165 2029398 2174355 3044097 3382330 4348710 5073495 6088194 10146990 15220485 30440970