Search a number
-
+
3484127745 = 3257231313671
BaseRepresentation
bin1100111110101011…
…1001001000000001
322222211000000202100
43033222321020001
524113414041440
61333420541013
7152224411560
oct31752711001
98884000670
103484127745
11152877681a
128129b1769
13436a9cc67
14250a29bd7
15155d24230
hexcfab9201

3484127745 has 96 divisors (see below), whose sum is σ = 7258927104. Its totient is φ = 1511452800.

The previous prime is 3484127743. The next prime is 3484127783. The reversal of 3484127745 is 5477214843.

3484127745 is a `hidden beast` number, since 3 + 484 + 127 + 7 + 45 = 666.

It is not a de Polignac number, because 3484127745 - 21 = 3484127743 is a prime.

It is a super-2 number, since 2×34841277452 = 24278292286957570050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (752640) is a multiple of the sum of its prime divisors (3840).

It is a self number, because there is not a number n which added to its sum of digits gives 3484127745.

It is not an unprimeable number, because it can be changed into a prime (3484127743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947260 + ... + 950930.

It is an arithmetic number, because the mean of its divisors is an integer number (75613824).

Almost surely, 23484127745 is an apocalyptic number.

3484127745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3484127745 is an abundant number, since it is smaller than the sum of its proper divisors (3774799359).

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

3484127745 is a wasteful number, since it uses less digits than its factorization.

3484127745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3840 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 3484127745 is about 59026.5003621255. The cubic root of 3484127745 is about 1515.9958880303.

The spelling of 3484127745 in words is "three billion, four hundred eighty-four million, one hundred twenty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 131 161 207 315 345 393 483 655 805 917 1035 1179 1449 1965 2415 2751 3013 3671 4585 5895 7245 8253 9039 11013 13755 15065 18355 21091 25697 27117 33039 41265 45195 55065 63273 77091 84433 105455 128485 135585 165195 189819 231273 253299 316365 385455 422165 480901 591031 759897 949095 1156365 1266495 1442703 1773093 2404505 2955155 3366307 3799485 4328109 5319279 7213515 8865465 10098921 11060723 16831535 21640545 26596395 30296763 33182169 50494605 55303615 77425061 99546507 151483815 165910845 232275183 387125305 497732535 696825549 1161375915 3484127745