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380801148 = 2237213311607
BaseRepresentation
bin10110101100101…
…001000001111100
3222112112200222020
4112230221001330
51234441114043
6101441520140
712302520300
oct2654510174
9875480866
10380801148
11185a525a2
12a7643050
1360b7ba30
1438807d00
152366ee83
hex16b2907c

380801148 has 144 divisors (see below), whose sum is σ = 1149732864. Its totient is φ = 97130880.

The previous prime is 380801147. The next prime is 380801167. The reversal of 380801148 is 841108083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380801147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236161 + ... + 237767.

It is an arithmetic number, because the mean of its divisors is an integer number (7984256).

Almost surely, 2380801148 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 380801148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574866432).

380801148 is an abundant number, since it is smaller than the sum of its proper divisors (768931716).

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

380801148 is a wasteful number, since it uses less digits than its factorization.

380801148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 380801148 is about 19514.1268828508. The cubic root of 380801148 is about 724.8243081210.

The spelling of 380801148 in words is "three hundred eighty million, eight hundred one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 364 372 403 434 546 588 637 651 806 868 1092 1209 1274 1302 1519 1607 1612 1911 2418 2548 2604 2821 3038 3214 3822 4557 4821 4836 5642 6076 6428 7644 8463 9114 9642 11249 11284 16926 18228 19284 19747 20891 22498 33747 33852 39494 41782 44996 49817 59241 62673 67494 78743 78988 83564 99634 118482 125346 134988 146237 149451 157486 199268 236229 236964 250692 292474 298902 314972 348719 438711 472458 584948 597804 647621 697438 877422 944916 1023659 1046157 1295242 1394876 1754844 1942863 2047318 2092314 2441033 2590484 3070977 3885726 4094636 4184628 4533347 4882066 6141954 7323099 7771452 9066694 9764132 12283908 13600041 14646198 18133388 27200082 29292396 31733429 54400164 63466858 95200287 126933716 190400574 380801148