Search a number
-
+
1344465045 = 325711537321
BaseRepresentation
bin101000000100010…
…1110100010010101
310110200211220022200
41100020232202111
510223140340140
6341224315113
745213523110
oct12010564225
93420756280
101344465045
1162aa08540
12316312a99
13185705c61
14ca7b7577
157d075030
hex5022e895

1344465045 has 96 divisors (see below), whose sum is σ = 2960665344. Its totient is φ = 548121600.

The previous prime is 1344465029. The next prime is 1344465097. The reversal of 1344465045 is 5405644431.

It is not a de Polignac number, because 1344465045 - 24 = 1344465029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179985 + ... + 187305.

It is an arithmetic number, because the mean of its divisors is an integer number (30840264).

Almost surely, 21344465045 is an apocalyptic number.

1344465045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1344465045 is an abundant number, since it is smaller than the sum of its proper divisors (1616200299).

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

1344465045 is a wasteful number, since it uses less digits than its factorization.

1344465045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 1344465045 is about 36666.9475822572. The cubic root of 1344465045 is about 1103.6969399909.

The spelling of 1344465045 in words is "one billion, three hundred forty-four million, four hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 53 55 63 77 99 105 159 165 231 265 315 371 385 477 495 583 693 795 1113 1155 1749 1855 2385 2915 3339 3465 4081 5247 5565 7321 8745 12243 16695 20405 21963 26235 36605 36729 51247 61215 65889 80531 109815 153741 183645 241593 256235 329445 388013 402655 461223 563717 724779 768705 1164039 1207965 1691151 1940065 2306115 2716091 2818585 3492117 3623895 4268143 5073453 5820195 8148273 8455755 12804429 13580455 17460585 21340715 24444819 25367265 29877001 38413287 40741365 64022145 89631003 122224095 149385005 192066435 268893009 448155015 1344465045