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332423104 = 2613478501
BaseRepresentation
bin10011110100000…
…101111111000000
3212011111211202211
4103310011333000
51140100014404
652552551504
711144356366
oct2364057700
9764454684
10332423104
1116070a442
12933b2594
1353b40980
1432213636
151e2b5b04
hex13d05fc0

332423104 has 56 divisors (see below), whose sum is σ = 725594688. Its totient is φ = 150144000.

The previous prime is 332423081. The next prime is 332423123. The reversal of 332423104 is 401324233.

It is a happy number.

It is a super-2 number, since 2×3324231042 = 221010240145989632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34854 + ... + 43354.

It is an arithmetic number, because the mean of its divisors is an integer number (12957048).

Almost surely, 2332423104 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 332423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362797344).

332423104 is an abundant number, since it is smaller than the sum of its proper divisors (393171584).

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

332423104 is a wasteful number, since it uses less digits than its factorization.

332423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 332423104 is about 18232.4738858993. The cubic root of 332423104 is about 692.7295812451.

Adding to 332423104 its reverse (401324233), we get a palindrome (733747337).

The spelling of 332423104 in words is "three hundred thirty-two million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 2444 3008 4888 8501 9776 17002 19552 34004 39104 68008 110513 136016 221026 272032 399547 442052 544064 799094 884104 1598188 1768208 3196376 3536416 5194111 6392752 7072832 10388222 12785504 20776444 25571008 41552888 83105776 166211552 332423104