Search a number
-
+
2046349116 = 223374575923
BaseRepresentation
bin111100111111000…
…1100111100111100
312021121120022021000
41321332030330330
513142331132431
6535020210300
7101465452260
oct17176147474
95247508230
102046349116
11960124419
12491399990
13267c54a86
14155ac20a0
15be9ba9e6
hex79f8cf3c

2046349116 has 96 divisors (see below), whose sum is σ = 6077550080. Its totient is φ = 583293312.

The previous prime is 2046349111. The next prime is 2046349117. The reversal of 2046349116 is 6119436402.

2046349116 is a `hidden beast` number, since 2 + 0 + 4 + 634 + 9 + 1 + 16 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046349111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342531 + ... + 348453.

Almost surely, 22046349116 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 2046349116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038775040).

2046349116 is an abundant number, since it is smaller than the sum of its proper divisors (4031200964).

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

2046349116 is a wasteful number, since it uses less digits than its factorization.

2046349116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6392 counting only the distinct ones).

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

The square root of 2046349116 is about 45236.5904550730. The cubic root of 2046349116 is about 1269.5795239353.

The spelling of 2046349116 in words is "two billion, forty-six million, three hundred forty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 457 756 914 1371 1828 2742 3199 4113 5484 5923 6398 8226 9597 11846 12339 12796 16452 17769 19194 23692 24678 28791 35538 38388 41461 49356 53307 57582 71076 82922 86373 106614 115164 124383 159921 165844 172746 213228 248766 319842 345492 373149 497532 639684 746298 1119447 1492596 2238894 2706811 4477788 5413622 8120433 10827244 16240866 18947677 24361299 32481732 37895354 48722598 56843031 73083897 75790708 97445196 113686062 146167794 170529093 227372124 292335588 341058186 511587279 682116372 1023174558 2046349116