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2328697440 = 2532511711381
BaseRepresentation
bin1000101011001101…
…0001101001100000
320000021212002100100
42022303101221200
514232121304230
61023024022400
7111464413236
oct21263215140
96007762310
102328697440
11a95541943
1254ba61a00
132b15b22a4
141813bc956
15d968e660
hex8acd1a60

2328697440 has 144 divisors (see below), whose sum is σ = 7959225456. Its totient is φ = 620006400.

The previous prime is 2328697421. The next prime is 2328697487. The reversal of 2328697440 is 447968232.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1685550 + ... + 1686930.

It is an arithmetic number, because the mean of its divisors is an integer number (55272399).

Almost surely, 22328697440 is an apocalyptic number.

2328697440 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 2328697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979612728).

2328697440 is an abundant number, since it is smaller than the sum of its proper divisors (5630528016).

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

2328697440 is a wasteful number, since it uses less digits than its factorization.

2328697440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2328697440 is about 48256.5792405554. The cubic root of 2328697440 is about 1325.4734162108.

The spelling of 2328697440 in words is "two billion, three hundred twenty-eight million, six hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1171 1381 1440 2342 2762 3513 4143 4684 5524 5855 6905 7026 8286 9368 10539 11048 11710 12429 13810 14052 16572 17565 18736 20715 21078 22096 23420 24858 27620 28104 33144 35130 37472 41430 42156 44192 46840 49716 52695 55240 56208 62145 66288 70260 82860 84312 93680 99432 105390 110480 112416 124290 132576 140520 165720 168624 187360 198864 210780 220960 248580 281040 331440 337248 397728 421560 497160 562080 662880 843120 994320 1617151 1686240 1988640 3234302 4851453 6468604 8085755 9702906 12937208 14554359 16171510 19405812 24257265 25874416 29108718 32343020 38811624 48514530 51748832 58217436 64686040 72771795 77623248 97029060 116434872 129372080 145543590 155246496 194058120 232869744 258744160 291087180 388116240 465739488 582174360 776232480 1164348720 2328697440