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232994340 = 223351922709
BaseRepresentation
bin11011110001100…
…11011000100100
3121020102100011000
431320303120210
5434121304330
635041513300
75526263535
oct1570633044
9536370130
10232994340
1110a579107
1266042830
133936a197
1422d3068c
15156c5560
hexde33624

232994340 has 96 divisors (see below), whose sum is σ = 763056000. Its totient is φ = 58859136.

The previous prime is 232994329. The next prime is 232994341. The reversal of 232994340 is 43499232.

232994340 is a `hidden beast` number, since 23 + 299 + 4 + 340 = 666.

232994340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232994295 and 232994304.

It is not an unprimeable number, because it can be changed into a prime (232994341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095 + ... + 21614.

It is an arithmetic number, because the mean of its divisors is an integer number (7948500).

Almost surely, 2232994340 is an apocalyptic number.

232994340 is a gapful number since it is divisible by the number (20) 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 232994340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381528000).

232994340 is an abundant number, since it is smaller than the sum of its proper divisors (530061660).

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

232994340 is a wasteful number, since it uses less digits than its factorization.

232994340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746 (or 22738 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 232994340 is about 15264.1521218835. The cubic root of 232994340 is about 615.3399667045.

It can be divided in two parts, 2329 and 94340, that added together give a palindrome (96669).

The spelling of 232994340 in words is "two hundred thirty-two million, nine hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 22709 45418 68127 90836 113545 136254 204381 227090 272508 340635 408762 431471 454180 613143 681270 817524 862942 1021905 1226286 1294413 1362540 1725884 2043810 2157355 2452572 2588826 3065715 3883239 4087620 4314710 5177652 6131430 6472065 7766478 8629420 11649717 12262860 12944130 15532956 19416195 23299434 25888260 38832390 46598868 58248585 77664780 116497170 232994340