Search a number
-
+
2734465100 = 2252297271297
BaseRepresentation
bin1010001011111100…
…1010000001001100
321001120101012221012
42202333022001030
521100010340400
61131201024352
7124522366313
oct24277120114
97046335835
102734465100
111183597114
126439250b8
13347692bb3
141bd24527a
151100e1d35
hexa2fca04c

2734465100 has 72 divisors (see below), whose sum is σ = 6151585440. Its totient is φ = 1053803520.

The previous prime is 2734465091. The next prime is 2734465127. The reversal of 2734465100 is 15644372.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2107652 + ... + 2108948.

Almost surely, 22734465100 is an apocalyptic number.

2734465100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075792720).

2734465100 is an abundant number, since it is smaller than the sum of its proper divisors (3417120340).

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

2734465100 is a wasteful number, since it uses less digits than its factorization.

2734465100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2734465100 is about 52292.1131720645. The cubic root of 2734465100 is about 1398.3765364995.

The spelling of 2734465100 in words is "two billion, seven hundred thirty-four million, four hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 727 1297 1450 1454 2594 2900 2908 3635 5188 6485 7270 12970 14540 18175 21083 25940 32425 36350 37613 42166 64850 72700 75226 84332 105415 129700 150452 188065 210830 376130 421660 527075 752260 940325 942919 1054150 1880650 1885838 2108300 3761300 3771676 4714595 9429190 18858380 23572975 27344651 47145950 54689302 94291900 109378604 136723255 273446510 546893020 683616275 1367232550 2734465100