Search a number
-
+
3374256144 = 243737674051
BaseRepresentation
bin1100100100011111…
…0001000000010000
322201011020222020210
43021013301000100
523402302144034
61314454004120
7146421463320
oct31107610020
98634228223
103374256144
111481752646
127a2046640
1341a0b118c
142401c9280
1514b36e8e9
hexc91f1010

3374256144 has 160 divisors (see below), whose sum is σ = 10386605056. Its totient is φ = 923788800.

The previous prime is 3374256131. The next prime is 3374256161. The reversal of 3374256144 is 4416524733.

It is a super-2 number, since 2×33742561442 = 22771209050643497472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830919 + ... + 834969.

Almost surely, 23374256144 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 3374256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193302528).

3374256144 is an abundant number, since it is smaller than the sum of its proper divisors (7012348912).

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

3374256144 is a wasteful number, since it uses less digits than its factorization.

3374256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4167 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 3374256144 is about 58088.3477472031. The cubic root of 3374256144 is about 1499.8897910140.

The spelling of 3374256144 in words is "three billion, three hundred seventy-four million, two hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 67 74 84 111 112 134 148 168 201 222 259 268 296 336 402 444 469 518 536 592 777 804 888 938 1036 1072 1407 1554 1608 1776 1876 2072 2479 2814 3108 3216 3752 4051 4144 4958 5628 6216 7437 7504 8102 9916 11256 12153 12432 14874 16204 17353 19832 22512 24306 28357 29748 32408 34706 39664 48612 52059 56714 59496 64816 69412 85071 97224 104118 113428 118992 138824 149887 170142 194448 208236 226856 271417 277648 299774 340284 416472 449661 453712 542834 599548 680568 814251 832944 899322 1049209 1085668 1199096 1361136 1628502 1798644 1899919 2098418 2171336 2398192 3147627 3257004 3597288 3799838 4196836 4342672 5699757 6295254 6514008 7194576 7599676 8393672 10042429 11399514 12590508 13028016 15199352 16787344 20084858 22799028 25181016 30127287 30398704 40169716 45598056 50362032 60254574 70297003 80339432 91196112 120509148 140594006 160678864 210891009 241018296 281188012 421782018 482036592 562376024 843564036 1124752048 1687128072 3374256144