Search a number
-
+
3163461240 = 2335198571619
BaseRepresentation
bin1011110010001110…
…1001011001111000
322011110121111000010
42330203221121320
522434321224430
61241523541520
7141251656032
oct27443513170
98143544003
103163461240
111383767285
1274352a8a0
133b5517574
142201d6c52
15137ad1cb0
hexbc8e9678

3163461240 has 128 divisors (see below), whose sum is σ = 10007712000. Its totient is φ = 797764608.

The previous prime is 3163461179. The next prime is 3163461283. The reversal of 3163461240 is 421643613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3163461198 and 3163461207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953151 + ... + 1954769.

It is an arithmetic number, because the mean of its divisors is an integer number (78185250).

Almost surely, 23163461240 is an apocalyptic number.

3163461240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3163461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003856000).

3163461240 is an abundant number, since it is smaller than the sum of its proper divisors (6844250760).

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

3163461240 is a wasteful number, since it uses less digits than its factorization.

3163461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3163461240 is about 56244.6552127400. The cubic root of 3163461240 is about 1467.9823678113.

The spelling of 3163461240 in words is "three billion, one hundred sixty-three million, four hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 857 1140 1619 1714 2280 2571 3238 3428 4285 4857 5142 6476 6856 8095 8570 9714 10284 12855 12952 16190 16283 17140 19428 20568 24285 25710 30761 32380 32566 34280 38856 48570 48849 51420 61522 64760 65132 81415 92283 97140 97698 102840 123044 130264 153805 162830 184566 194280 195396 244245 246088 307610 325660 369132 390792 461415 488490 615220 651320 738264 922830 976980 1230440 1387483 1845660 1953960 2774966 3691320 4162449 5549932 6937415 8324898 11099864 13874830 16649796 20812245 26362177 27749660 33299592 41624490 52724354 55499320 79086531 83248980 105448708 131810885 158173062 166497960 210897416 263621770 316346124 395432655 527243540 632692248 790865310 1054487080 1581730620 3163461240