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32314034000 = 245323739623
BaseRepresentation
bin11110000110000100…
…010000011101010000
310002102000120000021002
4132012010100131100
51012134343042000
622502253521132
72222525520443
oct360604203520
9102360500232
1032314034000
1112782480026
126319aa31a8
13307c911ca1
1417c78cb65a
15c91d6d8d5
hex786110750

32314034000 has 160 divisors (see below), whose sum is σ = 82657995264. Its totient is φ = 12192998400.

The previous prime is 32314033981. The next prime is 32314034003. The reversal of 32314034000 is 43041323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32314034003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3353189 + ... + 3362811.

Almost surely, 232314034000 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 32314034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328997632).

32314034000 is an abundant number, since it is smaller than the sum of its proper divisors (50343961264).

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

32314034000 is a wasteful number, since it uses less digits than its factorization.

32314034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32314034000 its reverse (43041323), we get a palindrome (32357075323).

The spelling of 32314034000 in words is "thirty-two billion, three hundred fourteen million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 73 80 92 100 115 125 146 184 200 230 250 292 365 368 400 460 500 575 584 730 920 1000 1150 1168 1460 1679 1825 1840 2000 2300 2875 2920 3358 3650 4600 5750 5840 6716 7300 8395 9125 9200 9623 11500 13432 14600 16790 18250 19246 23000 26864 29200 33580 36500 38492 41975 46000 48115 67160 73000 76984 83950 96230 134320 146000 153968 167900 192460 209875 221329 240575 335800 384920 419750 442658 481150 671600 702479 769840 839500 885316 962300 1106645 1202875 1404958 1679000 1770632 1924600 2213290 2405750 2809916 3358000 3512395 3541264 3849200 4426580 4811500 5533225 5619832 7024790 8853160 9623000 11066450 11239664 14049580 16157017 17561975 17706320 19246000 22132900 27666125 28099160 32314034 35123950 44265800 55332250 56198320 64628068 70247900 80785085 87809875 88531600 110664500 129256136 140495800 161570170 175619750 221329000 258512272 280991600 323140340 351239500 403925425 442658000 646280680 702479000 807850850 1292561360 1404958000 1615701700 2019627125 3231403400 4039254250 6462806800 8078508500 16157017000 32314034000