Search a number
-
+
2306470440 = 233523118317
BaseRepresentation
bin1000100101111001…
…1111001000101000
312221202000211122010
42021132133020220
514210424023230
61020511355520
7111104450421
oct21136371050
95852024563
102306470440
11a83a4041a
12544522ba0
132a9acc311
1417c474648
15d774d9b0
hex8979f228

2306470440 has 64 divisors (see below), whose sum is σ = 6923237760. Its totient is φ = 614718720.

The previous prime is 2306470403. The next prime is 2306470469. The reversal of 2306470440 is 440746032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2306470398 and 2306470407.

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, 273162 + ... + 281478.

It is an arithmetic number, because the mean of its divisors is an integer number (108175590).

Almost surely, 22306470440 is an apocalyptic number.

2306470440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306470440 is an abundant number, since it is smaller than the sum of its proper divisors (4616767320).

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

2306470440 is a wasteful number, since it uses less digits than its factorization.

2306470440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2306470440 is about 48025.7268555094. The cubic root of 2306470440 is about 1321.2427918838.

The spelling of 2306470440 in words is "two billion, three hundred six million, four hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2311 4622 6933 8317 9244 11555 13866 16634 18488 23110 24951 27732 33268 34665 41585 46220 49902 55464 66536 69330 83170 92440 99804 124755 138660 166340 199608 249510 277320 332680 499020 998040 19220587 38441174 57661761 76882348 96102935 115323522 153764696 192205870 230647044 288308805 384411740 461294088 576617610 768823480 1153235220 2306470440