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24780340 = 22513191499
BaseRepresentation
bin101111010000…
…1111000110100
31201121222020101
41132201320310
522320432330
62243043444
7420425614
oct136417064
951558211
1024780340
1112a95922
128370584
135198230
143410a44
1522974ca
hex17a1e34

24780340 has 48 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 9083520.

The previous prime is 24780337. The next prime is 24780383. The reversal of 24780340 is 4308742.

It is a super-2 number, since 2×247803402 = 1228130501031200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24780299 and 24780308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49411 + ... + 49909.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 224780340 is an apocalyptic number.

24780340 is a gapful number since it is divisible by the number (20) 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 24780340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

24780340 is an abundant number, since it is smaller than the sum of its proper divisors (31667660).

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

24780340 is a wasteful number, since it uses less digits than its factorization.

24780340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 24780340 is about 4977.9855363390. The cubic root of 24780340 is about 291.5428670064.

The spelling of 24780340 in words is "twenty-four million, seven hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 260 382 499 764 955 998 1910 1996 2483 2495 3820 4966 4990 6487 9932 9980 12415 12974 24830 25948 32435 49660 64870 95309 129740 190618 381236 476545 953090 1239017 1906180 2478034 4956068 6195085 12390170 24780340