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1004306706 = 2321315727337
BaseRepresentation
bin111011110111001…
…000000100010010
32120222210001210200
4323313020010102
54024100303311
6243353440030
733613315614
oct7367100422
92528701720
101004306706
114759a5547
12240410016
131300b7530
149754cdb4
155d282556
hex3bdc8112

1004306706 has 48 divisors (see below), whose sum is σ = 2358394584. Its totient is φ = 307037952.

The previous prime is 1004306683. The next prime is 1004306713. The reversal of 1004306706 is 6076034001.

It can be written as a sum of positive squares in 4 ways, for example, as 830304225 + 174002481 = 28815^2 + 13191^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004306706.

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, 23070 + ... + 50406.

Almost surely, 21004306706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004306706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179197292).

1004306706 is an abundant number, since it is smaller than the sum of its proper divisors (1354087878).

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

1004306706 is a wasteful number, since it uses less digits than its factorization.

1004306706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27515 (or 27512 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1004306706 is about 31690.7984437123. The cubic root of 1004306706 is about 1001.4335127260.

The spelling of 1004306706 in words is "one billion, four million, three hundred six thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 157 234 314 471 942 1413 2041 2826 4082 6123 12246 18369 27337 36738 54674 82011 164022 246033 355381 492066 710762 1066143 2132286 3198429 4291909 6396858 8583818 12875727 25751454 38627181 55794817 77254362 111589634 167384451 334768902 502153353 1004306706