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2345155040 = 255831371289
BaseRepresentation
bin1000101111001000…
…0011100111100000
320001102211012221002
42023302003213200
514300324430130
61024412451132
7112054326464
oct21362034740
96042735832
102345155040
11aa3862768
12555479aa8
132b4b25207
141836644a4
15dad40b45
hex8bc839e0

2345155040 has 96 divisors (see below), whose sum is σ = 5652491040. Its totient is φ = 919281664.

The previous prime is 2345155037. The next prime is 2345155051. The reversal of 2345155040 is 405515432.

It is a junction number, because it is equal to n+sod(n) for n = 2345154994 and 2345155012.

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, 1818716 + ... + 1820004.

It is an arithmetic number, because the mean of its divisors is an integer number (58880115).

Almost surely, 22345155040 is an apocalyptic number.

2345155040 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 2345155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826245520).

2345155040 is an abundant number, since it is smaller than the sum of its proper divisors (3307336000).

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

2345155040 is a wasteful number, since it uses less digits than its factorization.

2345155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 2345155040 is about 48426.8008441607. The cubic root of 2345155040 is about 1328.5885945070.

The spelling of 2345155040 in words is "two billion, three hundred forty-five million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 137 160 166 274 332 415 548 664 685 830 1096 1289 1328 1370 1660 2192 2578 2656 2740 3320 4384 5156 5480 6445 6640 10312 10960 11371 12890 13280 20624 21920 22742 25780 41248 45484 51560 56855 90968 103120 106987 113710 176593 181936 206240 213974 227420 353186 363872 427948 454840 534935 706372 855896 882965 909680 1069870 1412744 1711792 1765930 1819360 2139740 2825488 3423584 3531860 4279480 5650976 7063720 8558960 14127440 14657219 17117920 28254880 29314438 58628876 73286095 117257752 146572190 234515504 293144380 469031008 586288760 1172577520 2345155040