Search a number
-
+
334225728 = 2632836991
BaseRepresentation
bin10011111010111…
…110000101000000
3212021220102111200
4103322332011000
51141030210403
653055341200
711165605014
oct2372760500
9767812450
10334225728
11161730811
1293b21800
1354322305
1432562544
151e51eca3
hex13ebe140

334225728 has 84 divisors (see below), whose sum is σ = 969678528. Its totient is φ = 110050560.

The previous prime is 334225721. The next prime is 334225739. The reversal of 334225728 is 827522433.

It is a super-2 number, since 2×3342257282 = 223413674514259968, which contains 22 as substring.

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 = 334225692 and 334225701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334225721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44313 + ... + 51303.

It is an arithmetic number, because the mean of its divisors is an integer number (11543792).

Almost surely, 2334225728 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 334225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484839264).

334225728 is an abundant number, since it is smaller than the sum of its proper divisors (635452800).

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

334225728 is a wasteful number, since it uses less digits than its factorization.

334225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7079 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 334225728 is about 18281.8414827391. The cubic root of 334225728 is about 693.9794749028.

The spelling of 334225728 in words is "three hundred thirty-four million, two hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 6991 7968 11952 13982 15936 20973 23904 27964 41946 47808 55928 62919 83892 111856 125838 167784 223712 251676 335568 447424 503352 580253 671136 1006704 1160506 1342272 1740759 2013408 2321012 3481518 4026816 4642024 5222277 6963036 9284048 10444554 13926072 18568096 20889108 27852144 37136192 41778216 55704288 83556432 111408576 167112864 334225728