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493346970 = 233517195657
BaseRepresentation
bin11101011001111…
…110000010011010
31021101022121211000
4131121332002122
52002244100340
6120542045430
715140244234
oct3531760232
91241277730
10493346970
11233532976
12119279876
137b295aac
1449743254
152d4a1d30
hex1d67e09a

493346970 has 128 divisors (see below), whose sum is σ = 1466553600. Its totient is φ = 117282816.

The previous prime is 493346969. The next prime is 493346981. The reversal of 493346970 is 79643394.

493346970 is a `hidden beast` number, since 493 + 34 + 69 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84382 + ... + 90038.

It is an arithmetic number, because the mean of its divisors is an integer number (11457450).

Almost surely, 2493346970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493346970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733276800).

493346970 is an abundant number, since it is smaller than the sum of its proper divisors (973206630).

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

493346970 is a wasteful number, since it uses less digits than its factorization.

493346970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 493346970 is about 22211.4153083499. The cubic root of 493346970 is about 790.1644532923.

The spelling of 493346970 in words is "four hundred ninety-three million, three hundred forty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2907 3230 4590 4845 5130 5657 5814 8721 9690 11314 14535 16971 17442 28285 29070 33942 43605 50913 56570 84855 87210 96169 101826 107483 152739 169710 192338 214966 254565 288507 305478 322449 480845 509130 537415 577014 644898 763695 865521 961690 967347 1074830 1442535 1527390 1612245 1731042 1827211 1934694 2596563 2885070 2902041 3224490 3654422 4327605 4836735 5193126 5481633 5804082 8655210 9136055 9673470 10963266 12982815 14510205 16444899 18272110 25965630 27408165 29020410 32889798 49334697 54816330 82224495 98669394 164448990 246673485 493346970