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61343424 = 2632281379
BaseRepresentation
bin1110101000000…
…0011011000000
311021102120100200
43222000123000
5111200442144
610030445200
71343260542
oct352003300
9137376320
1061343424
113169924a
1218663800
13c92a5ac
14820b692
1555bac69
hex3a806c0

61343424 has 84 divisors (see below), whose sum is σ = 176921160. Its totient is φ = 20321280.

The previous prime is 61343423. The next prime is 61343431. The reversal of 61343424 is 42434316.

61343424 is a `hidden beast` number, since 613 + 4 + 3 + 42 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61343423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161667 + ... + 162045.

Almost surely, 261343424 is an apocalyptic number.

61343424 is a gapful number since it is divisible by the number (64) 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 61343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88460580).

61343424 is an abundant number, since it is smaller than the sum of its proper divisors (115577736).

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

61343424 is a wasteful number, since it uses less digits than its factorization.

61343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 61343424 is about 7832.2042874276. The cubic root of 61343424 is about 394.3870726905.

The spelling of 61343424 in words is "sixty-one million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 379 562 576 758 843 1124 1137 1516 1686 2248 2274 2529 3032 3372 3411 4496 4548 5058 6064 6744 6822 8992 9096 10116 12128 13488 13644 17984 18192 20232 24256 26976 27288 36384 40464 53952 54576 72768 80928 106499 109152 161856 212998 218304 319497 425996 638994 851992 958491 1277988 1703984 1916982 2555976 3407968 3833964 5111952 6815936 7667928 10223904 15335856 20447808 30671712 61343424