Search a number
-
+
332234000 = 24537191249
BaseRepresentation
bin10011110011010…
…111110100010000
3212011011020100222
4103303113310100
51140022442000
652544532212
711142641150
oct2363276420
9764136328
10332234000
111605a035a
1293321068
1353aa5887
14321a4760
151e279a85
hex13cd7d10

332234000 has 160 divisors (see below), whose sum is σ = 967200000. Its totient is φ = 107827200.

The previous prime is 332233997. The next prime is 332234003. The reversal of 332234000 is 432233.

332234000 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 (332233997) and next prime (332234003).

It is a super-2 number, since 2×3322340002 = 220758861512000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332234000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332234003) 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, 265376 + ... + 266624.

It is an arithmetic number, because the mean of its divisors is an integer number (6045000).

Almost surely, 2332234000 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 332234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483600000).

332234000 is an abundant number, since it is smaller than the sum of its proper divisors (634966000).

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

332234000 is a wasteful number, since it uses less digits than its factorization.

332234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 332234000 is about 18227.2872364485. The cubic root of 332234000 is about 692.5981997005.

Adding to 332234000 its reverse (432233), we get a palindrome (332666233).

The spelling of 332234000 in words is "three hundred thirty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1249 1330 1400 1520 1750 1900 2000 2128 2375 2498 2660 2800 3325 3500 3800 4750 4996 5320 6245 6650 7000 7600 8743 9500 9992 10640 12490 13300 14000 16625 17486 19000 19984 23731 24980 26600 31225 33250 34972 38000 43715 47462 49960 53200 62450 66500 69944 87430 94924 99920 118655 124900 133000 139888 156125 166117 174860 189848 218575 237310 249800 266000 312250 332234 349720 379696 437150 474620 499600 593275 624500 664468 699440 830585 874300 949240 1092875 1186550 1249000 1328936 1661170 1748600 1898480 2185750 2373100 2498000 2657872 2966375 3322340 3497200 4152925 4371500 4746200 5932750 6644680 8305850 8743000 9492400 11865500 13289360 16611700 17486000 20764625 23731000 33223400 41529250 47462000 66446800 83058500 166117000 332234000