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326142336 = 2731379827
BaseRepresentation
bin10011011100001…
…000100110000000
3211201200202011210
4103130020212000
51131443023321
652210210120
711040110202
oct2334104600
9751622153
10326142336
1115810a623
1291283940
1352751c40
143145a772
151d974b76
hex13708980

326142336 has 128 divisors (see below), whose sum is σ = 945907200. Its totient is φ = 98961408.

The previous prime is 326142329. The next prime is 326142343. The reversal of 326142336 is 633241623.

326142336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (326142329) and next prime (326142343).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393955 + ... + 394781.

It is an arithmetic number, because the mean of its divisors is an integer number (7389900).

Almost surely, 2326142336 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 326142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472953600).

326142336 is an abundant number, since it is smaller than the sum of its proper divisors (619764864).

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

326142336 is a wasteful number, since it uses less digits than its factorization.

326142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 326142336 is about 18059.4112860857. The cubic root of 326142336 is about 688.3390252675.

Adding to 326142336 its reverse (633241623), we get a palindrome (959383959).

The spelling of 326142336 in words is "three hundred twenty-six million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 384 416 474 624 632 827 832 948 1027 1248 1264 1654 1664 1896 2054 2481 2496 2528 3081 3308 3792 4108 4962 4992 5056 6162 6616 7584 8216 9924 10112 10751 12324 13232 15168 16432 19848 21502 24648 26464 30336 32253 32864 39696 43004 49296 52928 64506 65333 65728 79392 86008 98592 105856 129012 130666 131456 158784 172016 195999 197184 258024 261332 317568 344032 391998 394368 516048 522664 688064 783996 849329 1032096 1045328 1376128 1567992 1698658 2064192 2090656 2547987 3135984 3397316 4128384 4181312 5095974 6271968 6794632 8362624 10191948 12543936 13589264 20383896 25087872 27178528 40767792 54357056 81535584 108714112 163071168 326142336