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326507136 = 2735361263
BaseRepresentation
bin10011011101100…
…001101010000000
3211202101021120220
4103131201222000
51132041212021
652222103040
711043156564
oct2335415200
9752337526
10326507136
1115833970a
129141aa80
135284bcb7
14315136a4
151d9e7cc6
hex13761a80

326507136 has 128 divisors (see below), whose sum is σ = 901549440. Its totient is φ = 104632320.

The previous prime is 326507131. The next prime is 326507161. The reversal of 326507136 is 631705623.

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

It is a junction number, because it is equal to n+sod(n) for n = 326507097 and 326507106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326507131) 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, 1241341 + ... + 1241603.

It is an arithmetic number, because the mean of its divisors is an integer number (7043355).

Almost surely, 2326507136 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 326507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450774720).

326507136 is an abundant number, since it is smaller than the sum of its proper divisors (575042304).

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

326507136 is a wasteful number, since it uses less digits than its factorization.

326507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 326507136 is about 18069.5084603871. The cubic root of 326507136 is about 688.5955722652.

The spelling of 326507136 in words is "three hundred twenty-six million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 61 64 96 106 122 128 159 183 192 212 244 263 318 366 384 424 488 526 636 732 789 848 976 1052 1272 1464 1578 1696 1952 2104 2544 2928 3156 3233 3392 3904 4208 5088 5856 6312 6466 6784 7808 8416 9699 10176 11712 12624 12932 13939 16043 16832 19398 20352 23424 25248 25864 27878 32086 33664 38796 41817 48129 50496 51728 55756 64172 77592 83634 96258 100992 103456 111512 128344 155184 167268 192516 206912 223024 256688 310368 334536 385032 413824 446048 513376 620736 669072 770064 850279 892096 1026752 1241472 1338144 1540128 1700558 1784192 2053504 2550837 2676288 3080256 3401116 5101674 5352576 6160512 6802232 10203348 13604464 20406696 27208928 40813392 54417856 81626784 108835712 163253568 326507136