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7340000670 = 2325439719553
BaseRepresentation
bin1101101010111111…
…11000010110011110
3200221112111200000200
412311133320112132
5110013020010140
63212201404330
7346614655602
oct66537702636
920845450020
107340000670
11312726a162
12150a1996a6
138cc89a982
144d8b83502
152ce5ca030
hex1b57f859e

7340000670 has 96 divisors (see below), whose sum is σ = 19730142432. Its totient is φ = 1892007936.

The previous prime is 7340000611. The next prime is 7340000671. The reversal of 7340000670 is 760000437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7340000671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365614 + ... + 385166.

It is an arithmetic number, because the mean of its divisors is an integer number (205522317).

Almost surely, 27340000670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7340000670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865071216).

7340000670 is an abundant number, since it is smaller than the sum of its proper divisors (12390141762).

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

7340000670 is a wasteful number, since it uses less digits than its factorization.

7340000670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706 (or 19703 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 7340000670 is about 85673.8038725957. The cubic root of 7340000670 is about 1943.4141769199.

The spelling of 7340000670 in words is "seven billion, three hundred forty million, six hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 97 129 194 215 258 291 387 430 485 582 645 774 873 970 1290 1455 1746 1935 2910 3870 4171 4365 8342 8730 12513 19553 20855 25026 37539 39106 41710 58659 62565 75078 97765 117318 125130 175977 187695 195530 293295 351954 375390 586590 840779 879885 1681558 1759770 1896641 2522337 3793282 4203895 5044674 5689923 7567011 8407790 9483205 11379846 12611685 15134022 17069769 18966410 25223370 28449615 34139538 37835055 56899230 75670110 81555563 85348845 163111126 170697690 244666689 407777815 489333378 734000067 815555630 1223333445 1468000134 2446666890 3670000335 7340000670