Search a number
-
+
1354194240 = 26357201517
BaseRepresentation
bin101000010110111…
…0101110101000000
310111101011012021020
41100231311311000
510233133203430
6342213025440
745362314110
oct12055656500
93441135236
101354194240
116354531a3
12319625280
13187731489
14cbbcb040
157dd47b10
hex50b75d40

1354194240 has 112 divisors (see below), whose sum is σ = 4913814912. Its totient is φ = 309528576.

The previous prime is 1354194229. The next prime is 1354194263. The reversal of 1354194240 is 424914531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94039 + ... + 107478.

Almost surely, 21354194240 is an apocalyptic number.

1354194240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354194240 is an abundant number, since it is smaller than the sum of its proper divisors (3559620672).

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

1354194240 is a wasteful number, since it uses less digits than its factorization.

1354194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201544 (or 201534 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1354194240 is about 36799.3782556173. The cubic root of 1354194240 is about 1106.3528375783.

The spelling of 1354194240 in words is "one billion, three hundred fifty-four million, one hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 201517 403034 604551 806068 1007585 1209102 1410619 1612136 2015170 2418204 2821238 3022755 3224272 4030340 4231857 4836408 5642476 6045510 6448544 7053095 8060680 8463714 9672816 11284952 12091020 12897088 14106190 16121360 16927428 19345632 21159285 22569904 24182040 28212380 32242720 33854856 38691264 42318570 45139808 48364080 56424760 64485440 67709712 84637140 90279616 96728160 112849520 135419424 169274280 193456320 225699040 270838848 338548560 451398080 677097120 1354194240