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378229248 = 2932791039
BaseRepresentation
bin10110100010110…
…101001000000000
3222100201000222200
4112202311020000
51233311313443
6101310433200
712241616115
oct2642651000
9870630880
10378229248
11184556261
12a6802800
136048b1b7
143833890c
1523312dd3
hex168b5200

378229248 has 120 divisors (see below), whose sum is σ = 1106476800. Its totient is φ = 124360704.

The previous prime is 378229183. The next prime is 378229249. The reversal of 378229248 is 842922873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378229249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363513 + ... + 364551.

It is an arithmetic number, because the mean of its divisors is an integer number (9220640).

Almost surely, 2378229248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553238400).

378229248 is an abundant number, since it is smaller than the sum of its proper divisors (728247552).

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

378229248 is a wasteful number, since it uses less digits than its factorization.

378229248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1123 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 378229248 is about 19448.1168240012. The cubic root of 378229248 is about 723.1888191030.

The spelling of 378229248 in words is "three hundred seventy-eight million, two hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 512 576 632 711 768 948 1039 1152 1264 1422 1536 1896 2078 2304 2528 2844 3117 3792 4156 4608 5056 5688 6234 7584 8312 9351 10112 11376 12468 15168 16624 18702 20224 22752 24936 30336 33248 37404 40448 45504 49872 60672 66496 74808 82081 91008 99744 121344 132992 149616 164162 182016 199488 246243 265984 299232 328324 364032 398976 492486 531968 598464 656648 738729 797952 984972 1196928 1313296 1477458 1595904 1969944 2393856 2626592 2954916 3939888 4787712 5253184 5909832 7879776 10506368 11819664 15759552 21012736 23639328 31519104 42025472 47278656 63038208 94557312 126076416 189114624 378229248