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155401344 = 2732722753
BaseRepresentation
bin10010100001100…
…11110010000000
3101211102012120100
421100303302000
5304240320334
623230442400
73564614100
oct1120636200
9354365510
10155401344
117a7a136a
1244063400
1326270577
14168d3200
15d999c99
hex9433c80

155401344 has 144 divisors (see below), whose sum is σ = 520382070. Its totient is φ = 44384256.

The previous prime is 155401333. The next prime is 155401381. The reversal of 155401344 is 443104551.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98247744 + 57153600 = 9912^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55072 + ... + 57824.

Almost surely, 2155401344 is an apocalyptic number.

155401344 is a gapful number since it is divisible by the number (14) 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 155401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260191035).

155401344 is an abundant number, since it is smaller than the sum of its proper divisors (364980726).

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

155401344 is a wasteful number, since it uses less digits than its factorization.

155401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 155401344 is about 12466.0075405079. The cubic root of 155401344 is about 537.6317689559.

Adding to 155401344 its reverse (443104551), we get a palindrome (598505895).

The spelling of 155401344 in words is "one hundred fifty-five million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 2753 3136 3528 4032 4704 5506 6272 7056 8064 8259 9408 11012 14112 16518 18816 19271 22024 24777 28224 33036 38542 44048 49554 56448 57813 66072 77084 88096 99108 115626 132144 134897 154168 173439 176192 198216 231252 264288 269794 308336 346878 352384 396432 404691 462504 528576 539588 616672 693756 792864 809382 925008 1057152 1079176 1214073 1233344 1387512 1585728 1618764 1850016 2158352 2428146 2466688 2775024 3171456 3237528 3700032 4316704 4856292 5550048 6475056 7400064 8633408 9712584 11100096 12950112 17266816 19425168 22200192 25900224 38850336 51800448 77700672 155401344