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1363346064 = 2432191074657
BaseRepresentation
bin101000101000011…
…0000001010010000
310112000101011012200
41101100300022100
510243004033224
6343141123200
745533151603
oct12120601220
93460334180
101363346064
1163a634093
123206b9500
131895b6c62
14cd0d033a
157ea545c9
hex51430290

1363346064 has 120 divisors (see below), whose sum is σ = 4054695840. Its totient is φ = 426415104.

The previous prime is 1363346053. The next prime is 1363346111. The reversal of 1363346064 is 4606433631.

1363346064 is a `hidden beast` number, since 13 + 6 + 3 + 34 + 606 + 4 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290424 + ... + 295080.

It is an arithmetic number, because the mean of its divisors is an integer number (33789132).

Almost surely, 21363346064 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 1363346064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027347920).

1363346064 is an abundant number, since it is smaller than the sum of its proper divisors (2691349776).

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

1363346064 is a wasteful number, since it uses less digits than its factorization.

1363346064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 1363346064 is about 36923.5164089229. The cubic root of 1363346064 is about 1108.8395371421.

Adding to 1363346064 its reverse (4606433631), we get a palindrome (5969779695).

The spelling of 1363346064 in words is "one billion, three hundred sixty-three million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 107 114 144 152 171 214 228 304 321 342 428 456 642 684 856 912 963 1284 1368 1712 1926 2033 2568 2736 3852 4066 4657 5136 6099 7704 8132 9314 12198 13971 15408 16264 18297 18628 24396 27942 32528 36594 37256 41913 48792 55884 73188 74512 83826 88483 97584 111768 146376 167652 176966 223536 265449 292752 335304 353932 498299 530898 670608 707864 796347 996598 1061796 1415728 1494897 1592694 1993196 2123592 2989794 3185388 3986392 4247184 4484691 5979588 6370776 7972784 8969382 9467681 11959176 12741552 17938764 18935362 23918352 28403043 35877528 37870724 56806086 71755056 75741448 85209129 113612172 151482896 170418258 227224344 340836516 454448688 681673032 1363346064