Search a number
-
+
3119472 = 24342983
BaseRepresentation
bin1011111001100101110000
312212111010000
423321211300
51244310342
6150510000
735341446
oct13714560
95774100
103119472
111840784
121065300
13852b55
145b2b96
1541944c
hex2f9970

3119472 has 100 divisors (see below), whose sum is σ = 9452520. Its totient is φ = 991872.

The previous prime is 3119447. The next prime is 3119491. The reversal of 3119472 is 2749113.

It is a super-2 number, since 2×31194722 = 19462211117568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37543 + ... + 37625.

Almost surely, 23119472 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 3119472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726260).

3119472 is an abundant number, since it is smaller than the sum of its proper divisors (6333048).

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

3119472 is a wasteful number, since it uses less digits than its factorization.

3119472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 3119472 is about 1766.2027063732. The cubic root of 3119472 is about 146.1146281876.

It can be divided in two parts, 31 and 19472, that added together give a triangular number (19503 = T197).

The spelling of 3119472 in words is "three million, one hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 83 87 108 116 144 162 166 174 216 232 249 261 324 332 348 432 464 498 522 648 664 696 747 783 996 1044 1296 1328 1392 1494 1566 1992 2088 2241 2349 2407 2988 3132 3984 4176 4482 4698 4814 5976 6264 6723 7221 8964 9396 9628 11952 12528 13446 14442 17928 18792 19256 21663 26892 28884 35856 37584 38512 43326 53784 57768 64989 86652 107568 115536 129978 173304 194967 259956 346608 389934 519912 779868 1039824 1559736 3119472