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61343360 = 2751373101
BaseRepresentation
bin1110101000000…
…0011010000000
311021102120021022
43222000122000
5111200441420
610030445012
71343260421
oct352003200
9137376238
1061343360
11316991a1
1218663768
13c92a560
14820b648
1555bac25
hex3a80680

61343360 has 128 divisors (see below), whose sum is σ = 161678160. Its totient is φ = 22118400.

The previous prime is 61343357. The next prime is 61343371. The reversal of 61343360 is 6334316.

It can be written as a sum of positive squares in 8 ways, for example, as 34386496 + 26956864 = 5864^2 + 5192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 607310 + ... + 607410.

Almost surely, 261343360 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 61343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80839080).

61343360 is an abundant number, since it is smaller than the sum of its proper divisors (100334800).

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

61343360 is a wasteful number, since it uses less digits than its factorization.

61343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 61343360 is about 7832.2002017313. The cubic root of 61343360 is about 394.3869355349.

Adding to 61343360 its reverse (6334316), we get a palindrome (67677676).

The spelling of 61343360 in words is "sixty-one million, three hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 101 104 128 130 146 160 202 208 260 292 320 365 404 416 505 520 584 640 730 808 832 949 1010 1040 1168 1313 1460 1616 1664 1898 2020 2080 2336 2626 2920 3232 3796 4040 4160 4672 4745 5252 5840 6464 6565 7373 7592 8080 8320 9344 9490 10504 11680 12928 13130 14746 15184 16160 18980 21008 23360 26260 29492 30368 32320 36865 37960 42016 46720 52520 58984 60736 64640 73730 75920 84032 95849 105040 117968 121472 147460 151840 168064 191698 210080 235936 294920 303680 383396 420160 471872 479245 589840 607360 766792 840320 943744 958490 1179680 1533584 1916980 2359360 3067168 3833960 4718720 6134336 7667920 12268672 15335840 30671680 61343360