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644000070 = 235727711071
BaseRepresentation
bin100110011000101…
…010100101000110
31122212210121000110
4212120222211012
52304331000240
6143523053450
721646624140
oct4630524506
91585717013
10644000070
1130058086a
1215b811286
13a356303c
146175bc90
153b80ec80
hex2662a946

644000070 has 64 divisors (see below), whose sum is σ = 1772937216. Its totient is φ = 146655360.

The previous prime is 644000053. The next prime is 644000081. The reversal of 644000070 is 70000446.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52635 + ... + 63705.

It is an arithmetic number, because the mean of its divisors is an integer number (27702144).

Almost surely, 2644000070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644000070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886468608).

644000070 is an abundant number, since it is smaller than the sum of its proper divisors (1128937146).

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

644000070 is a wasteful number, since it uses less digits than its factorization.

644000070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 644000070 is about 25377.1564600922. The cubic root of 644000070 is about 863.5655421385.

The spelling of 644000070 in words is "six hundred forty-four million, seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 831 1385 1662 1939 2770 3878 4155 5817 8310 9695 11071 11634 19390 22142 29085 33213 55355 58170 66426 77497 110710 154994 166065 232491 332130 387485 464982 774970 1162455 2324910 3066667 6133334 9200001 15333335 18400002 21466669 30666670 42933338 46000005 64400007 92000010 107333345 128800014 214666690 322000035 644000070