Search a number
-
+
3164247320 = 2351310136007
BaseRepresentation
bin1011110010011010…
…1001010100011000
322011112002102022012
42330212221110120
522440021403240
61241552445052
7141261441563
oct27446512430
98145072265
103164247320
111384153933
12743849788
133b57312c0
1422035d4da
15137bd9b65
hexbc9a9518

3164247320 has 64 divisors (see below), whose sum is σ = 7676061120. Its totient is φ = 1166989824.

The previous prime is 3164247311. The next prime is 3164247329. The reversal of 3164247320 is 237424613.

It is an interprime number because it is at equal distance from previous prime (3164247311) and next prime (3164247329).

It is a super-2 number, since 2×31642473202 = 20024922204254364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164247329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523757 + ... + 529763.

It is an arithmetic number, because the mean of its divisors is an integer number (119938455).

Almost surely, 23164247320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164247320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838030560).

3164247320 is an abundant number, since it is smaller than the sum of its proper divisors (4511813800).

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

3164247320 is a wasteful number, since it uses less digits than its factorization.

3164247320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3164247320 is about 56251.6428204546. The cubic root of 3164247320 is about 1468.1039494087.

The spelling of 3164247320 in words is "three billion, one hundred sixty-four million, two hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1013 2026 4052 5065 6007 8104 10130 12014 13169 20260 24028 26338 30035 40520 48056 52676 60070 65845 78091 105352 120140 131690 156182 240280 263380 312364 390455 526760 624728 780910 1561820 3123640 6085091 12170182 24340364 30425455 48680728 60850910 79106183 121701820 158212366 243403640 316424732 395530915 632849464 791061830 1582123660 3164247320