Search a number
-
+
374082488 = 231319238231
BaseRepresentation
bin10110010011000…
…000101110111000
3222001220100200222
4112103000232320
51231231114423
6101041515212
712161435333
oct2623005670
9861810628
10374082488
1118218378a
12a5342b08
135c6688b0
143797961a
1522c943c8
hex164c0bb8

374082488 has 64 divisors (see below), whose sum is σ = 829785600. Its totient is φ = 156435840.

The previous prime is 374082481. The next prime is 374082491. The reversal of 374082488 is 884280473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374082481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41333 + ... + 49563.

It is an arithmetic number, because the mean of its divisors is an integer number (12965400).

Almost surely, 2374082488 is an apocalyptic number.

374082488 is a gapful number since it is divisible by the number (38) 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 374082488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414892800).

374082488 is an abundant number, since it is smaller than the sum of its proper divisors (455703112).

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

374082488 is a wasteful number, since it uses less digits than its factorization.

374082488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The square root of 374082488 is about 19341.2121647016. The cubic root of 374082488 is about 720.5361798290.

The spelling of 374082488 in words is "three hundred seventy-four million, eighty-two thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 494 598 874 988 1196 1748 1976 2392 3496 5681 8231 11362 16462 22724 32924 45448 65848 107003 156389 189313 214006 312778 378626 428012 625556 757252 856024 1251112 1514504 2033057 2461069 3596947 4066114 4922138 7193894 8132228 9844276 14387788 16264456 19688552 28775576 46760311 93520622 187041244 374082488