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2378480328 = 233374336583
BaseRepresentation
bin1000110111000100…
…1011101011001000
320010202112022122000
42031301023223020
514332342332303
61032003031000
7112640514660
oct21561135310
96122468560
102378480328
111010654524
1256466b460
132bb9c2913
14187c5b1a0
15ddc24da3
hex8dc4bac8

2378480328 has 128 divisors (see below), whose sum is σ = 7726540800. Its totient is φ = 663743808.

The previous prime is 2378480323. The next prime is 2378480329. The reversal of 2378480328 is 8230848732.

It is not an unprimeable number, because it can be changed into a prime (2378480323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46725 + ... + 83307.

It is an arithmetic number, because the mean of its divisors is an integer number (60363600).

Almost surely, 22378480328 is an apocalyptic number.

2378480328 is a gapful number since it is divisible by the number (28) 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 2378480328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863270400).

2378480328 is an abundant number, since it is smaller than the sum of its proper divisors (5348060472).

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

2378480328 is a wasteful number, since it uses less digits than its factorization.

2378480328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36648 (or 36638 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2378480328 is about 48769.6660640608. Note that the first 3 decimals coincide. The cubic root of 2378480328 is about 1334.8522194705.

The spelling of 2378480328 in words is "two billion, three hundred seventy-eight million, four hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 1032 1161 1204 1512 1548 1806 2322 2408 2709 3096 3612 4644 5418 7224 8127 9288 10836 16254 21672 32508 36583 65016 73166 109749 146332 219498 256081 292664 329247 438996 512162 658494 768243 877992 987741 1024324 1316988 1536486 1573069 1975482 2048648 2304729 2633976 3072972 3146138 3950964 4609458 4719207 6145944 6292276 6914187 7901928 9218916 9438414 11011483 12584552 13828374 14157621 18437832 18876828 22022966 27656748 28315242 33034449 37753656 42472863 44045932 55313496 56630484 66068898 84945726 88091864 99103347 113260968 132137796 169891452 198206694 264275592 297310041 339782904 396413388 594620082 792826776 1189240164 2378480328