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379698144 = 25373715271
BaseRepresentation
bin10110101000011…
…011101111100000
3222110110122221020
4112220123233200
51234200320034
6101402125440
712260244450
oct2650335740
9873418836
10379698144
11185369921
12a71b0880
1360883977
14385dbd60
1523503249
hex16a1bbe0

379698144 has 96 divisors (see below), whose sum is σ = 1169957376. Its totient is φ = 105546240.

The previous prime is 379698139. The next prime is 379698149. The reversal of 379698144 is 441896973.

It is an interprime number because it is at equal distance from previous prime (379698139) and next prime (379698149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379698149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17229 + ... + 32499.

It is an arithmetic number, because the mean of its divisors is an integer number (12187056).

Almost surely, 2379698144 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 379698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584978688).

379698144 is an abundant number, since it is smaller than the sum of its proper divisors (790259232).

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

379698144 is a wasteful number, since it uses less digits than its factorization.

379698144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15320 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 379698144 is about 19485.8447084031. The cubic root of 379698144 is about 724.1238049220.

The spelling of 379698144 in words is "three hundred seventy-nine million, six hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 15271 24864 30542 45813 61084 91626 106897 122168 183252 213794 244336 320691 366504 427588 488672 565027 641382 733008 855176 1130054 1282764 1466016 1695081 1710352 2260108 2565528 3390162 3420704 3955189 4520216 5131056 6780324 7910378 9040432 10262112 11865567 13560648 15820756 18080864 23731134 27121296 31641512 47462268 54242592 63283024 94924536 126566048 189849072 379698144