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30440520 = 23325117687
BaseRepresentation
bin111010000011…
…1110001001000
32010021112112200
41310013301020
530243044040
63004240200
7516511605
oct164076110
963245480
1030440520
1116201460
12a240060
1363ca656
1440856ac
152a14630
hex1d07c48

30440520 has 96 divisors (see below), whose sum is σ = 107939520. Its totient is φ = 7378560.

The previous prime is 30440513. The next prime is 30440609. The reversal of 30440520 is 2504403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30440493 and 30440502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117 + ... + 7803.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 230440520 is an apocalyptic number.

30440520 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 30440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969760).

30440520 is an abundant number, since it is smaller than the sum of its proper divisors (77499000).

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

30440520 is a wasteful number, since it uses less digits than its factorization.

30440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30440520 is about 5517.2928144154. The cubic root of 30440520 is about 312.2367532393.

Adding to 30440520 its reverse (2504403), we get a palindrome (32944923).

The spelling of 30440520 in words is "thirty million, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 7687 15374 23061 30748 38435 46122 61496 69183 76870 84557 92244 115305 138366 153740 169114 184488 230610 253671 276732 307480 338228 345915 422785 461220 507342 553464 676456 691830 761013 845570 922440 1014684 1268355 1383660 1522026 1691140 2029368 2536710 2767320 3044052 3382280 3805065 5073420 6088104 7610130 10146840 15220260 30440520