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2324123040 = 253517284819
BaseRepresentation
bin1000101010000111…
…0100110110100000
312222222020200110010
42022201310312200
514224433414130
61022342004520
7111410501631
oct21241646640
95888220403
102324123040
11a929a8048
1254a416740
132b0670145
1418094b888
15d90890b0
hex8a874da0

2324123040 has 96 divisors (see below), whose sum is σ = 7751661120. Its totient is φ = 583307264.

The previous prime is 2324123029. The next prime is 2324123047. The reversal of 2324123040 is 403214232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2324122998 and 2324123016.

It is not an unprimeable number, because it can be changed into a prime (2324123047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134250 + ... + 150569.

It is an arithmetic number, because the mean of its divisors is an integer number (80746470).

Almost surely, 22324123040 is an apocalyptic number.

2324123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2324123040 is an abundant number, since it is smaller than the sum of its proper divisors (5427538080).

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

2324123040 is a wasteful number, since it uses less digits than its factorization.

2324123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284854 (or 284846 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2324123040 is about 48209.1592957189. The cubic root of 2324123040 is about 1324.6049449986.

Adding to 2324123040 its reverse (403214232), we get a palindrome (2727337272).

The spelling of 2324123040 in words is "two billion, three hundred twenty-four million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 284819 569638 854457 1139276 1424095 1708914 2278552 2848190 3417828 4272285 4557104 4841923 5696380 6835656 8544570 9114208 9683846 11392760 13671312 14525769 17089140 19367692 22785520 24209615 27342624 29051538 34178280 38735384 45571040 48419230 58103076 68356560 72628845 77470768 96838460 116206152 136713120 145257690 154941536 193676920 232412304 290515380 387353840 464824608 581030760 774707680 1162061520 2324123040