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1408243440 = 24358965929
BaseRepresentation
bin101001111110000…
…0001011011110000
310122010212011211110
41103330001123300
510341002242230
6351423313320
746616605002
oct12374013360
93563764743
101408243440
11662a0a15a
1233374b840
131959a6956
14d505a372
15839724b0
hex53f016f0

1408243440 has 80 divisors (see below), whose sum is σ = 4414672800. Its totient is φ = 371306496.

The previous prime is 1408243427. The next prime is 1408243547. The reversal of 1408243440 is 443428041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1408243398 and 1408243407.

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, 11605 + ... + 54324.

It is an arithmetic number, because the mean of its divisors is an integer number (55183410).

Almost surely, 21408243440 is an apocalyptic number.

1408243440 is a gapful number since it is divisible by the number (10) 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 1408243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207336400).

1408243440 is an abundant number, since it is smaller than the sum of its proper divisors (3006429360).

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

1408243440 is a wasteful number, since it uses less digits than its factorization.

1408243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66034 (or 66028 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 1408243440 is about 37526.5697872854. The cubic root of 1408243440 is about 1120.8803240373.

The spelling of 1408243440 in words is "one billion, four hundred eight million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 7120 10680 21360 65929 131858 197787 263716 329645 395574 527432 659290 791148 988935 1054864 1318580 1582296 1977870 2637160 3164592 3955740 5274320 5867681 7911480 11735362 15822960 17603043 23470724 29338405 35206086 46941448 58676810 70412172 88015215 93882896 117353620 140824344 176030430 234707240 281648688 352060860 469414480 704121720 1408243440