Search a number
-
+
332141440 = 2753116741
BaseRepresentation
bin10011110011000…
…001001110000000
3212010222112101211
4103303001032000
51140012011230
652542535504
711142104251
oct2363011600
9763875354
10332141440
11160537864
1293297594
1353a726c7
143217cb28
151e25c42a
hex13cc1380

332141440 has 64 divisors (see below), whose sum is σ = 819688320. Its totient is φ = 128563200.

The previous prime is 332141423. The next prime is 332141441. The reversal of 332141440 is 44141233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3321414402 = 220635872330547200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11470 + ... + 28210.

It is an arithmetic number, because the mean of its divisors is an integer number (12807630).

Almost surely, 2332141440 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 332141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409844160).

332141440 is an abundant number, since it is smaller than the sum of its proper divisors (487546880).

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

332141440 is a wasteful number, since it uses less digits than its factorization.

332141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 332141440 is about 18224.7480092318. The cubic root of 332141440 is about 692.5338747130.

Adding to 332141440 its reverse (44141233), we get a palindrome (376282673).

The spelling of 332141440 in words is "three hundred thirty-two million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 16741 19840 33482 66964 83705 133928 167410 267856 334820 518971 535712 669640 1037942 1071424 1339280 2075884 2142848 2594855 2678560 4151768 5189710 5357120 8303536 10379420 10714240 16607072 20758840 33214144 41517680 66428288 83035360 166070720 332141440