Search a number
-
+
995346450 = 2325273110193
BaseRepresentation
bin111011010100111…
…100100000010010
32120100220211122100
4323110330200102
54014302041300
6242433421230
733444206460
oct7324744022
92510824570
10995346450
1147093557a
1223940a816
1312b29acc7
1496299830
155c5b2700
hex3b53c812

995346450 has 144 divisors (see below), whose sum is σ = 3155083776. Its totient is φ = 220147200.

The previous prime is 995346433. The next prime is 995346467. The reversal of 995346450 is 54643599.

995346450 is a `hidden beast` number, since 9 + 9 + 534 + 64 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (995346433) and next prime (995346467).

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

It is a junction number, because it is equal to n+sod(n) for n = 995346396 and 995346405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92554 + ... + 102746.

It is an arithmetic number, because the mean of its divisors is an integer number (21910304).

Almost surely, 2995346450 is an apocalyptic number.

995346450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 995346450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577541888).

995346450 is an abundant number, since it is smaller than the sum of its proper divisors (2159737326).

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

995346450 is a wasteful number, since it uses less digits than its factorization.

995346450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 995346450 is about 31549.1117149120. Note that the first 3 decimals coincide. The cubic root of 995346450 is about 998.4464042569.

The spelling of 995346450 in words is "nine hundred ninety-five million, three hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 31 35 42 45 50 62 63 70 75 90 93 105 126 150 155 175 186 210 217 225 279 310 315 350 434 450 465 525 558 630 651 775 930 1050 1085 1302 1395 1550 1575 1953 2170 2325 2790 3150 3255 3906 4650 5425 6510 6975 9765 10193 10850 13950 16275 19530 20386 30579 32550 48825 50965 61158 71351 91737 97650 101930 142702 152895 183474 214053 254825 305790 315983 356755 428106 458685 509650 631966 642159 713510 764475 917370 947949 1070265 1284318 1528950 1579915 1783775 1895898 2140530 2211881 2293425 2843847 3159830 3210795 3567550 4423762 4586850 4739745 5351325 5687694 6421590 6635643 7899575 9479490 10702650 11059405 13271286 14219235 15799150 16053975 19906929 22118810 23698725 28438470 32107950 33178215 39813858 47397450 55297025 66356430 71096175 99534645 110594050 142192350 165891075 199069290 331782150 497673225 995346450