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326305152 = 2733263359
BaseRepresentation
bin10011011100110…
…000010110000000
3211202000000112000
4103130300112000
51132013231102
652213504000
711041355655
oct2334602600
9752000460
10326305152
11158210988
1291342000
13527ab094
143149dc2c
151d9a801c
hex13730580

326305152 has 128 divisors (see below), whose sum is σ = 969408000. Its totient is φ = 108052992.

The previous prime is 326305127. The next prime is 326305181. The reversal of 326305152 is 251503623.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908749 + ... + 909107.

It is an arithmetic number, because the mean of its divisors is an integer number (7573500).

Almost surely, 2326305152 is an apocalyptic number.

326305152 is a gapful number since it is divisible by the number (32) 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 326305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484704000).

326305152 is an abundant number, since it is smaller than the sum of its proper divisors (643102848).

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

326305152 is a wasteful number, since it uses less digits than its factorization.

326305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 326305152 is about 18063.9185117737. The cubic root of 326305152 is about 688.4535498682.

Adding to 326305152 its reverse (251503623), we get a palindrome (577808775).

The spelling of 326305152 in words is "three hundred twenty-six million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 263 288 359 384 432 526 576 718 789 864 1052 1077 1152 1436 1578 1728 2104 2154 2367 2872 3156 3231 3456 4208 4308 4734 5744 6312 6462 7101 8416 8616 9468 9693 11488 12624 12924 14202 16832 17232 18936 19386 22976 25248 25848 28404 33664 34464 37872 38772 45952 50496 51696 56808 68928 75744 77544 94417 100992 103392 113616 137856 151488 155088 188834 206784 227232 283251 302976 310176 377668 413568 454464 566502 620352 755336 849753 908928 1133004 1240704 1510672 1699506 2266008 2549259 3021344 3399012 4532016 5098518 6042688 6798024 9064032 10197036 12085376 13596048 18128064 20394072 27192096 36256128 40788144 54384192 81576288 108768384 163152576 326305152