Search a number
-
+
332320232440 = 23572295846591
BaseRepresentation
bin1001101010111111101…
…01000101001111111000
31011202202222010221200001
410311133311011033320
520421042434414230
6412355451522344
733003130240300
oct4653765051770
91152688127601
10332320232440
11118a331202a9
12544a54593b4
1325450b00cc1
14121277a4600
15899ed540ca
hex4d5fd453f8

332320232440 has 96 divisors (see below), whose sum is σ = 899790508800. Its totient is φ = 110009437440.

The previous prime is 332320232429. The next prime is 332320232471. The reversal of 332320232440 is 44232023233.

It is a super-2 number, since 2×3323202324402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 332320232399 and 332320232408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2866456 + ... + 2980135.

It is an arithmetic number, because the mean of its divisors is an integer number (9372817800).

Almost surely, 2332320232440 is an apocalyptic number.

It is an amenable number.

332320232440 is an abundant number, since it is smaller than the sum of its proper divisors (567470276360).

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

332320232440 is a wasteful number, since it uses less digits than its factorization.

332320232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846645 (or 5846634 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 332320232440 its reverse (44232023233), we get a palindrome (376552255673).

The spelling of 332320232440 in words is "three hundred thirty-two billion, three hundred twenty million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 56840 5846591 11693182 23386364 29232955 40926137 46772728 58465910 81852274 116931820 163704548 169551139 204630685 233863640 286482959 327409096 339102278 409261370 572965918 678204556 818522740 847755695 1145931836 1186857973 1356409112 1432414795 1637045480 1695511390 2291863672 2373715946 2864829590 3391022780 4747431892 5729659180 5934289865 6782045560 8308005811 9494863784 11459318360 11868579730 16616011622 23737159460 33232023244 41540029055 47474318920 66464046488 83080058110 166160116220 332320232440