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61230384 = 2433413457
BaseRepresentation
bin1110100110010…
…0110100110000
311021012211022000
43221210310300
5111133333014
610024214000
71342310145
oct351446460
9137184260
1061230384
1131621326
121860a300
13c8bacc7
1481bc3cc
155597509
hex3a64d30

61230384 has 80 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 19906560.

The previous prime is 61230373. The next prime is 61230401. The reversal of 61230384 is 48303216.

61230384 = 12022 + 12032 + ... + 12422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15984 + ... + 19440.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 261230384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61230384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

61230384 is an abundant number, since it is smaller than the sum of its proper divisors (118862256).

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

61230384 is a wasteful number, since it uses less digits than its factorization.

61230384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61230384 is about 7824.9846006238. The cubic root of 61230384 is about 394.1446727509.

The spelling of 61230384 in words is "sixty-one million, two hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 3457 4428 5904 6914 8856 10371 13828 17712 20742 27656 31113 41484 55312 62226 82968 93339 124452 141737 165936 186678 248904 283474 373356 425211 497808 566948 746712 850422 1133896 1275633 1493424 1700844 2267792 2551266 3401688 3826899 5102532 6803376 7653798 10205064 15307596 20410128 30615192 61230384