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2305367040 = 21035150089
BaseRepresentation
bin1000100101101001…
…0001110000000000
312221122221210001110
42021122101300000
514210133221130
61020432003320
7111062203464
oct21132216000
95848853043
102305367040
11a83357419
12544090540
132a9804012
1417c2684a4
15d75d1ab0
hex89691c00

2305367040 has 88 divisors (see below), whose sum is σ = 7373621520. Its totient is φ = 614760448.

The previous prime is 2305367017. The next prime is 2305367047. The reversal of 2305367040 is 407635032.

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 = 2305366989 and 2305367007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305367047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59685 + ... + 90404.

Almost surely, 22305367040 is an apocalyptic number.

2305367040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305367040 is an abundant number, since it is smaller than the sum of its proper divisors (5068254480).

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

2305367040 is a wasteful number, since it uses less digits than its factorization.

2305367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150117 (or 150099 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2305367040 is about 48014.2378883597. The cubic root of 2305367040 is about 1321.0320670450.

The spelling of 2305367040 in words is "two billion, three hundred five million, three hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 150089 300178 450267 600356 750445 900534 1200712 1500890 1801068 2251335 2401424 3001780 3602136 4502670 4802848 6003560 7204272 9005340 9605696 12007120 14408544 18010680 19211392 24014240 28817088 36021360 38422784 48028480 57634176 72042720 76845568 96056960 115268352 144085440 153691136 192113920 230536704 288170880 384227840 461073408 576341760 768455680 1152683520 2305367040