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2332040340 = 2235722233557
BaseRepresentation
bin1000101100000000…
…0001110010010100
320000112010220221110
42023000001302110
514234000242330
61023223415020
7111535005300
oct21300016224
96015126843
102332040340
11a97415473
12550bb4470
132b21b2a36
14181a0cd00
15d9aeedb0
hex8b001c94

2332040340 has 144 divisors (see below), whose sum is σ = 7631995392. Its totient is φ = 530498304.

The previous prime is 2332040339. The next prime is 2332040351. The reversal of 2332040340 is 430402332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653842 + ... + 657398.

It is an arithmetic number, because the mean of its divisors is an integer number (52999968).

Almost surely, 22332040340 is an apocalyptic number.

2332040340 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 2332040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815997696).

2332040340 is an abundant number, since it is smaller than the sum of its proper divisors (5299955052).

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

2332040340 is a wasteful number, since it uses less digits than its factorization.

2332040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2332040340 is about 48291.2035468159. The cubic root of 2332040340 is about 1326.1073623909.

Adding to 2332040340 its reverse (430402332), we get a palindrome (2762442672).

The spelling of 2332040340 in words is "two billion, three hundred thirty-two million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 223 245 294 420 446 490 588 669 735 892 980 1115 1338 1470 1561 2230 2676 2940 3122 3345 3557 4460 4683 6244 6690 7114 7805 9366 10671 10927 13380 14228 15610 17785 18732 21342 21854 23415 24899 31220 32781 35570 42684 43708 46830 49798 53355 54635 65562 71140 74697 93660 99596 106710 109270 124495 131124 149394 163905 174293 213420 218540 248990 298788 327810 348586 373485 497980 522879 655620 697172 746970 793211 871465 1045758 1493940 1586422 1742930 2091516 2379633 2614395 3172844 3485860 3966055 4759266 5228790 5552477 7932110 9518532 10457580 11104954 11898165 15864220 16657431 22209908 23796330 27762385 33314862 38867339 47592660 55524770 66629724 77734678 83287155 111049540 116602017 155469356 166574310 194336695 233204034 333148620 388673390 466408068 583010085 777346780 1166020170 2332040340