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1346490216 = 23354714737
BaseRepresentation
bin101000001000001…
…1100111101101000
310110211122210100000
41100100130331220
510224200141331
6341335543000
745236656311
oct12020347550
93424583300
101346490216
11631071035
12316b2aa60
13185c64996
14cab83608
157d3250e6
hex5041cf68

1346490216 has 96 divisors (see below), whose sum is σ = 3862535040. Its totient is φ = 439250688.

The previous prime is 1346490209. The next prime is 1346490227. The reversal of 1346490216 is 6120946431.

1346490216 is a `hidden beast` number, since 1 + 3 + 4 + 649 + 0 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 84000 + ... + 98736.

It is an arithmetic number, because the mean of its divisors is an integer number (40234740).

Almost surely, 21346490216 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 1346490216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931267520).

1346490216 is an abundant number, since it is smaller than the sum of its proper divisors (2516044824).

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

1346490216 is a wasteful number, since it uses less digits than its factorization.

1346490216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14805 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1346490216 is about 36694.5529472700. The cubic root of 1346490216 is about 1104.2508291131.

The spelling of 1346490216 in words is "one billion, three hundred forty-six million, four hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 846 972 1128 1269 1692 1944 2538 3384 3807 5076 7614 10152 11421 14737 15228 22842 29474 30456 44211 45684 58948 88422 91368 117896 132633 176844 265266 353688 397899 530532 692639 795798 1061064 1193697 1385278 1591596 2077917 2387394 2770556 3183192 3581091 4155834 4774788 5541112 6233751 7162182 8311668 9549576 12467502 14324364 16623336 18701253 24935004 28648728 37402506 49870008 56103759 74805012 112207518 149610024 168311277 224415036 336622554 448830072 673245108 1346490216