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155345344 = 26711291087
BaseRepresentation
bin10010100001001…
…10000111000000
3101211022100202021
421100212013000
5304232022334
623225331224
73564261610
oct1120460700
9354270667
10155345344
117a763290
1244036b14
1326250c2b
14168baa40
15d9883b4
hex94261c0

155345344 has 112 divisors (see below), whose sum is σ = 397946880. Its totient is φ = 58383360.

The previous prime is 155345341. The next prime is 155345353. The reversal of 155345344 is 443543551.

155345344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155345341) 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, 142369 + ... + 143455.

Almost surely, 2155345344 is an apocalyptic number.

155345344 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 155345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198973440).

155345344 is an abundant number, since it is smaller than the sum of its proper divisors (242601536).

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

155345344 is a wasteful number, since it uses less digits than its factorization.

155345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

The square root of 155345344 is about 12463.7612300621. The cubic root of 155345344 is about 537.5671813630.

Adding to 155345344 its reverse (443543551), we get a palindrome (598888895).

The spelling of 155345344 in words is "one hundred fifty-five million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 928 1087 1232 1276 1624 1856 2174 2233 2464 2552 3248 4348 4466 4928 5104 6496 7609 8696 8932 10208 11957 12992 15218 17392 17864 20416 23914 30436 31523 34784 35728 47828 60872 63046 69568 71456 83699 95656 121744 126092 142912 167398 191312 220661 243488 252184 334796 346753 382624 441322 486976 504368 669592 693506 765248 882644 1008736 1339184 1387012 1765288 2017472 2427271 2678368 2774024 3530576 4854542 5356736 5548048 7061152 9709084 11096096 14122304 19418168 22192192 38836336 77672672 155345344