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4325734000 = 245372511231
BaseRepresentation
bin1000000011101010…
…10111011001110000
3102011110122001111101
410001311113121300
532324341442000
61553123254144
7212124063250
oct40165273160
912143561441
104325734000
11191a844a85
12a0881a354
1353c25c823
142d0705960
151a4b68e6a
hex101d57670

4325734000 has 160 divisors (see below), whose sum is σ = 12011231232. Its totient is φ = 1476000000.

The previous prime is 4325733977. The next prime is 4325734003. The reversal of 4325734000 is 4375234.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4325734000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4325734003) 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, 3513385 + ... + 3514615.

Almost surely, 24325734000 is an apocalyptic number.

4325734000 is a gapful number since it is divisible by the number (40) 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 4325734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

4325734000 is an abundant number, since it is smaller than the sum of its proper divisors (7685497232).

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

4325734000 is a wasteful number, since it uses less digits than its factorization.

4325734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 4325734000 is about 65770.3124517438. The cubic root of 4325734000 is about 1629.3708287241.

The spelling of 4325734000 in words is "four billion, three hundred twenty-five million, seven hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 251 280 350 400 500 502 560 700 875 1000 1004 1231 1255 1400 1750 1757 2000 2008 2462 2510 2800 3500 3514 4016 4924 5020 6155 6275 7000 7028 8617 8785 9848 10040 12310 12550 14000 14056 17234 17570 19696 20080 24620 25100 28112 30775 31375 34468 35140 43085 43925 49240 50200 61550 62750 68936 70280 86170 87850 98480 100400 123100 125500 137872 140560 153875 172340 175700 215425 219625 246200 251000 307750 308981 344680 351400 430850 439250 492400 502000 615500 617962 689360 702800 861700 878500 1077125 1231000 1235924 1544905 1723400 1757000 2154250 2162867 2462000 2471848 3089810 3446800 3514000 4308500 4325734 4943696 6179620 7724525 8617000 8651468 10814335 12359240 15449050 17234000 17302936 21628670 24718480 30898100 34605872 38622625 43257340 54071675 61796200 77245250 86514680 108143350 123592400 154490500 173029360 216286700 270358375 308981000 432573400 540716750 617962000 865146800 1081433500 2162867000 4325734000