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2404137340 = 22511101257421
BaseRepresentation
bin1000111101001100…
…0011100101111100
320012112210211102201
42033103003211330
514410424343330
61034321001244
7113401554523
oct21723034574
96175724381
102404137340
111024088a70
12571183224
132c4106b97
1418b4194ba
15e10e1eca
hex8f4c397c

2404137340 has 96 divisors (see below), whose sum is σ = 5597097408. Its totient is φ = 860160000.

The previous prime is 2404137313. The next prime is 2404137347. The reversal of 2404137340 is 437314042.

It is a junction number, because it is equal to n+sod(n) for n = 2404137299 and 2404137308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404137347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5710330 + ... + 5710750.

It is an arithmetic number, because the mean of its divisors is an integer number (58303098).

Almost surely, 22404137340 is an apocalyptic number.

2404137340 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 2404137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798548704).

2404137340 is an abundant number, since it is smaller than the sum of its proper divisors (3192960068).

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

2404137340 is a wasteful number, since it uses less digits than its factorization.

2404137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2404137340 is about 49032.0032223853. The cubic root of 2404137340 is about 1339.6348117494.

The spelling of 2404137340 in words is "two billion, four hundred four million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 257 404 421 505 514 842 1010 1028 1111 1285 1684 2020 2105 2222 2570 2827 4210 4444 4631 5140 5555 5654 8420 9262 11110 11308 14135 18524 22220 23155 25957 28270 42521 46310 51914 56540 85042 92620 103828 108197 129785 170084 212605 216394 259570 285527 425210 432788 467731 519140 540985 571054 850420 935462 1081970 1142108 1190167 1427635 1870924 2163940 2338655 2380334 2855270 4677310 4760668 5710540 5950835 9354620 10927897 11901670 21855794 23803340 43711588 54639485 109278970 120206867 218557940 240413734 480827468 601034335 1202068670 2404137340