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234936396 = 223317413121
BaseRepresentation
bin11100000000011…
…01100001001100
3121101002000011000
432000031201030
5440120431041
635151300300
75551632522
oct1600154114
9541060130
10234936396
11110685212
126681a690
133989a126
14232b8312
151595abb6
hexe00d84c

234936396 has 96 divisors (see below), whose sum is σ = 660864960. Its totient is φ = 71884800.

The previous prime is 234936353. The next prime is 234936431. The reversal of 234936396 is 693639432.

234936396 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 3 + 639 + 6 = 666.

It is a super-2 number, since 2×2349363962 = 110390220330937632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73716 + ... + 76836.

It is an arithmetic number, because the mean of its divisors is an integer number (6884010).

Almost surely, 2234936396 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 234936396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330432480).

234936396 is an abundant number, since it is smaller than the sum of its proper divisors (425928564).

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

234936396 is a wasteful number, since it uses less digits than its factorization.

234936396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3184 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 234936396 is about 15327.6350426281. The cubic root of 234936396 is about 617.0449004027.

The spelling of 234936396 in words is "two hundred thirty-four million, nine hundred thirty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 369 459 492 612 697 738 918 1107 1394 1476 1836 2091 2214 2788 3121 4182 4428 6242 6273 8364 9363 12484 12546 18726 18819 25092 28089 37452 37638 53057 56178 75276 84267 106114 112356 127961 159171 168534 212228 255922 318342 337068 383883 477513 511844 636684 767766 955026 1151649 1432539 1535532 1910052 2175337 2303298 2865078 3454947 4350674 4606596 5730156 6526011 6909894 8701348 13052022 13819788 19578033 26104044 39156066 58734099 78312132 117468198 234936396