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2045342232 = 233367791789
BaseRepresentation
bin111100111101001…
…0111001000011000
312021112200011002000
41321322113020120
513142101422412
6534542441000
7101454056613
oct17172271030
95245604060
102045342232
1195a5a698a
12490b93160
1326799169b
141558dd17a
15be86c4dc
hex79e97218

2045342232 has 128 divisors (see below), whose sum is σ = 5842560000. Its totient is φ = 662732928.

The previous prime is 2045342219. The next prime is 2045342249. The reversal of 2045342232 is 2322435402.

It is a happy number.

2045342232 is a `hidden beast` number, since 204 + 5 + 3 + 422 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2045342196 and 2045342205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142394 + ... + 1144182.

It is an arithmetic number, because the mean of its divisors is an integer number (45645000).

Almost surely, 22045342232 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 2045342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921280000).

2045342232 is an abundant number, since it is smaller than the sum of its proper divisors (3797217768).

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

2045342232 is a wasteful number, since it uses less digits than its factorization.

2045342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2045342232 is about 45225.4599976606. The cubic root of 2045342232 is about 1269.3712621391.

Adding to 2045342232 its reverse (2322435402), we get a palindrome (4367777634).

The spelling of 2045342232 in words is "two billion, forty-five million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 79 108 134 158 201 216 237 268 316 402 474 536 603 632 711 804 948 1206 1422 1608 1789 1809 1896 2133 2412 2844 3578 3618 4266 4824 5293 5367 5688 7156 7236 8532 10586 10734 14312 14472 15879 16101 17064 21172 21468 31758 32202 42344 42936 47637 48303 63516 64404 95274 96606 119863 127032 128808 141331 142911 190548 193212 239726 282662 285822 359589 381096 386424 423993 479452 565324 571644 719178 847986 958904 1078767 1130648 1143288 1271979 1438356 1695972 2157534 2543958 2876712 3236301 3391944 3815937 4315068 5087916 6472602 7631874 8630136 9469177 10175832 12945204 15263748 18938354 25890408 28407531 30527496 37876708 56815062 75753416 85222593 113630124 170445186 227260248 255667779 340890372 511335558 681780744 1022671116 2045342232