Search a number
-
+
607328148 = 22374107197
BaseRepresentation
bin100100001100110…
…001011110010100
31120022210110121010
4210030301132110
52220434000043
6140133052220
721023130000
oct4414613624
91508713533
10607328148
11291903699
1214b487070
1398a9328b
145a933700
15384b9133
hex24331794

607328148 has 120 divisors (see below), whose sum is σ = 1677104352. Its totient is φ = 171028032.

The previous prime is 607328147. The next prime is 607328153. The reversal of 607328148 is 841823706.

It is a super-3 number, since 3×6073281483 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607328147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3082786 + ... + 3082982.

Almost surely, 2607328148 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 607328148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838552176).

607328148 is an abundant number, since it is smaller than the sum of its proper divisors (1069776204).

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

607328148 is a wasteful number, since it uses less digits than its factorization.

607328148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 607328148 is about 24644.0286479301. The cubic root of 607328148 is about 846.8525572644.

The spelling of 607328148 in words is "six hundred seven million, three hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 197 214 294 321 343 394 428 588 591 642 686 749 788 1029 1182 1284 1372 1379 1498 2058 2247 2364 2401 2758 2996 4116 4137 4494 4802 5243 5516 7203 8274 8988 9604 9653 10486 14406 15729 16548 19306 20972 21079 28812 28959 31458 36701 38612 42158 57918 62916 63237 67571 73402 84316 110103 115836 126474 135142 146804 147553 202713 220206 252948 256907 270284 295106 405426 440412 442659 472997 513814 590212 770721 810852 885318 945994 1027628 1032871 1418991 1541442 1770636 1891988 2065742 2837982 3082884 3098613 4131484 5675964 6197226 7230097 12394452 14460194 21690291 28920388 43380582 50610679 86761164 101221358 151832037 202442716 303664074 607328148