Search a number
-
+
332741952 = 26331747241
BaseRepresentation
bin10011110101010…
…011110101000000
3212012010001011000
4103311103311000
51140140220302
653003452000
711150155104
oct2365236500
9765101130
10332741952
11160907a54
1293527000
1353c22b3a
1432297904
151e32a31c
hex13d53d40

332741952 has 224 divisors, whose sum is σ = 1062167040. Its totient is φ = 101744640.

The previous prime is 332741951. The next prime is 332741993. The reversal of 332741952 is 259147233.

It is a super-2 number, since 2×3327419522 = 221434413241540608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332741951) 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, 1380552 + ... + 1380792.

Almost surely, 2332741952 is an apocalyptic number.

332741952 is a gapful number since it is divisible by the number (32) 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 332741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531083520).

332741952 is an abundant number, since it is smaller than the sum of its proper divisors (729425088).

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

332741952 is a wasteful number, since it uses less digits than its factorization.

332741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 332741952 is about 18241.2157489571. The cubic root of 332741952 is about 692.9509907059.

The spelling of 332741952 in words is "three hundred thirty-two million, seven hundred forty-one thousand, nine hundred fifty-two".