Search a number
-
+
324340436420730 = 232566135331543169
BaseRepresentation
bin100100110111111000110010…
…0011111111100100001111010
31120112101122100200021211101100
41021233301210133330201322
5320002443203210430410
63105451534534232230
7125213552241403062
oct11157614437744172
91515348320254340
10324340436420730
1194388008904854
1230463423ab5676
1310bc9230919342
145a142376683a2
152776c8bd008c0
hex126fc647fc87a

324340436420730 has 96 divisors (see below), whose sum is σ = 844800503124240. Its totient is φ = 86335434915840.

The previous prime is 324340436420729. The next prime is 324340436420761. The reversal of 324340436420730 is 37024634043423.

It is a happy number.

324340436420730 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 4 + 0 + 436 + 4 + 207 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 167352592409289 + 156987844011441 = 12936483^2 + 12529479^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209406586 + ... + 210949754.

Almost surely, 2324340436420730 is an apocalyptic number.

324340436420730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

324340436420730 is an abundant number, since it is smaller than the sum of its proper divisors (520460066703510).

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

324340436420730 is a wasteful number, since it uses less digits than its factorization.

324340436420730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547376 (or 1547373 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 45.

The spelling of 324340436420730 in words is "three hundred twenty-four trillion, three hundred forty billion, four hundred thirty-six million, four hundred twenty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 661 1322 1983 3305 3533 3966 5949 6610 7066 9915 10599 11898 17665 19830 21198 29745 31797 35330 52995 59490 63594 105990 158985 317970 1543169 2335313 3086338 4629507 4670626 7005939 7715845 9259014 11676565 13888521 14011878 15431690 21017817 23147535 23353130 27777042 35029695 42035634 46295070 69442605 70059390 105089085 138885210 210178170 1020034709 2040069418 3060104127 5100173545 5452016077 6120208254 9180312381 10200347090 10904032154 15300520635 16356048231 18360624762 27260080385 30601041270 32712096462 45901561905 49068144693 54520160770 81780241155 91803123810 98136289386 163560482310 245340723465 490681446930 3603782626897 7207565253794 10811347880691 18018913134485 21622695761382 32434043642073 36037826268970 54056739403455 64868087284146 108113478806910 162170218210365 324340436420730