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379233148 = 22755641
BaseRepresentation
bin10110100110101…
…010001101111100
3222102121001002011
4112212222031330
51234040430043
6101344141004
712253300000
oct2646521574
9872531064
10379233148
11185081528
12a7007764
1360750118
143851a700
152346059d
hex169aa37c

379233148 has 36 divisors (see below), whose sum is σ = 774398352. Its totient is φ = 162499680.

The previous prime is 379233143. The next prime is 379233163. The reversal of 379233148 is 841332973.

379233148 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

379233148 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 379233148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379233143) 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, 64408 + ... + 70048.

Almost surely, 2379233148 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 379233148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387199176).

379233148 is an abundant number, since it is smaller than the sum of its proper divisors (395165204).

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

379233148 is an frugal number, since it uses more digits than its factorization.

379233148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5650 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 379233148 is about 19473.9094174744. The cubic root of 379233148 is about 723.8280856128.

The spelling of 379233148 in words is "three hundred seventy-nine million, two hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 5641 9604 11282 16807 22564 33614 39487 67228 78974 157948 276409 552818 1105636 1934863 3869726 7739452 13544041 27088082 54176164 94808287 189616574 379233148