[go: up one dir, main page]

Search a number
-
+
3375311744 = 27731137887
BaseRepresentation
bin1100100100101111…
…0010101110000000
322201020020121021002
43021023302232000
523403034433434
61314532351132
7146433451010
oct31113625600
98636217232
103375311744
111482303742
127a24754a8
1341a3907ac
142403c1c40
1514b4cc57e
hexc92f2b80

3375311744 has 128 divisors (see below), whose sum is σ = 7999672320. Its totient is φ = 1388113920.

The previous prime is 3375311743. The next prime is 3375311749. The reversal of 3375311744 is 4471135733.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33753117442 = 22785458738368643072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3375311698 and 3375311707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375311741) 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, 3804869 + ... + 3805755.

It is an arithmetic number, because the mean of its divisors is an integer number (62497440).

Almost surely, 23375311744 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 3375311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999836160).

3375311744 is an abundant number, since it is smaller than the sum of its proper divisors (4624360576).

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

3375311744 is a wasteful number, since it uses less digits than its factorization.

3375311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1064 counting only the distinct ones).

The product of its digits is 105840, while the sum is 38.

The square root of 3375311744 is about 58097.4331963126. The cubic root of 3375311744 is about 1500.0461828744.

The spelling of 3375311744 in words is "three billion, three hundred seventy-five million, three hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 137 217 224 248 274 434 448 496 548 868 887 896 959 992 1096 1736 1774 1918 1984 2192 3472 3548 3836 3968 4247 4384 6209 6944 7096 7672 8494 8768 12418 13888 14192 15344 16988 17536 24836 27497 27776 28384 29729 30688 33976 49672 54994 56768 59458 61376 67952 99344 109988 113536 118916 121519 122752 135904 192479 198688 219976 237832 243038 271808 384958 397376 439952 475664 486076 543616 769916 794752 850633 879904 951328 972152 1539832 1701266 1759808 1902656 1944304 3079664 3402532 3519616 3767089 3805312 3888608 6159328 6805064 7534178 7777216 12318656 13610128 15068356 15554432 24637312 26369623 27220256 30136712 52739246 54440512 60273424 105478492 108881024 120546848 210956984 241093696 421913968 482187392 843827936 1687655872 3375311744