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1006334252 = 227112317937
BaseRepresentation
bin111011111110110…
…111000100101100
32121010121002001222
4323332313010230
54030110144002
6243505122512
733636462050
oct7376670454
92533532058
101006334252
1147705a900
12241029438
13130647371
1497919c60
155d5331a2
hex3bfb712c

1006334252 has 72 divisors (see below), whose sum is σ = 2221619232. Its totient is φ = 390424320.

The previous prime is 1006334243. The next prime is 1006334279. The reversal of 1006334252 is 2524336001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073528 + ... + 1074464.

Almost surely, 21006334252 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 1006334252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110809616).

1006334252 is an abundant number, since it is smaller than the sum of its proper divisors (1215284980).

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

1006334252 is a wasteful number, since it uses less digits than its factorization.

1006334252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1006334252 is about 31722.7718208860. The cubic root of 1006334252 is about 1002.1069748724.

The spelling of 1006334252 in words is "one billion, six million, three hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 317 484 634 847 937 1268 1694 1874 2219 3388 3487 3748 4438 6559 6974 8876 10307 13118 13948 20614 24409 26236 38357 41228 48818 72149 76714 97636 113377 144298 153428 226754 268499 288596 297029 453508 536998 594058 793639 1073996 1188116 1587278 2079203 3174556 3267319 4158406 6534638 8316812 13069276 22871233 35940509 45742466 71881018 91484932 143762036 251583563 503167126 1006334252