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2328599040 = 29351931571
BaseRepresentation
bin1000101011001011…
…1001101000000000
320000021200002100220
42022302321220000
514232110132130
61023021543040
7111463523325
oct21262715000
96007602326
102328599040
11a95484a19
1254ba14a80
132b1579571
14181394b4c
15d9670410
hex8acb9a00

2328599040 has 160 divisors (see below), whose sum is σ = 7487574336. Its totient is φ = 617349120.

The previous prime is 2328598997. The next prime is 2328599071. The reversal of 2328599040 is 409958232.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2328598983 and 2328599001.

It is a congruent number.

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, 1481455 + ... + 1483025.

Almost surely, 22328599040 is an apocalyptic number.

2328599040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743787168).

2328599040 is an abundant number, since it is smaller than the sum of its proper divisors (5158975296).

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

2328599040 is a wasteful number, since it uses less digits than its factorization.

2328599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2328599040 is about 48255.5596796887. The cubic root of 2328599040 is about 1325.4547464860.

The spelling of 2328599040 in words is "two billion, three hundred twenty-eight million, five hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 320 384 386 480 512 579 640 768 772 960 965 1158 1280 1536 1544 1571 1920 1930 2316 2560 2895 3088 3142 3840 3860 4632 4713 5790 6176 6284 7680 7720 7855 9264 9426 11580 12352 12568 15440 15710 18528 18852 23160 23565 24704 25136 30880 31420 37056 37704 46320 47130 49408 50272 61760 62840 74112 75408 92640 94260 98816 100544 123520 125680 148224 150816 185280 188520 201088 247040 251360 296448 301632 303203 370560 377040 402176 494080 502720 603264 606406 741120 754080 804352 909609 1005440 1206528 1212812 1482240 1508160 1516015 1819218 2010880 2413056 2425624 3016320 3032030 3638436 4021760 4548045 4851248 6032640 6064060 7276872 9096090 9702496 12065280 12128120 14553744 18192180 19404992 24256240 29107488 36384360 38809984 48512480 58214976 72768720 77619968 97024960 116429952 145537440 155239936 194049920 232859904 291074880 388099840 465719808 582149760 776199680 1164299520 2328599040