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332130400 = 25527127467
BaseRepresentation
bin10011110010111…
…110100001100000
3212010221222020221
4103302332201200
51140011133100
652542412424
711142030130
oct2362764140
9763858227
10332130400
1116052a538
1293291114
1353a6a684
1432178ac0
151e25901a
hex13cbe860

332130400 has 144 divisors (see below), whose sum is σ = 935940096. Its totient is φ = 112734720.

The previous prime is 332130371. The next prime is 332130433. The reversal of 332130400 is 4031233.

It is a super-2 number, since 2×3321304002 = 220621205208320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710967 + ... + 711433.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2332130400 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 332130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

332130400 is an abundant number, since it is smaller than the sum of its proper divisors (603809696).

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

332130400 is a wasteful number, since it uses less digits than its factorization.

332130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 332130400 is about 18224.4451218686. The cubic root of 332130400 is about 692.5262016178.

Adding to 332130400 its reverse (4031233), we get a palindrome (336161633).

The spelling of 332130400 in words is "three hundred thirty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 127 140 160 175 200 224 254 280 350 400 467 508 560 635 700 800 889 934 1016 1120 1270 1400 1778 1868 2032 2335 2540 2800 3175 3269 3556 3736 4064 4445 4670 5080 5600 6350 6538 7112 7472 8890 9340 10160 11675 12700 13076 14224 14944 16345 17780 18680 20320 22225 23350 25400 26152 28448 32690 35560 37360 44450 46700 50800 52304 59309 65380 71120 74720 81725 88900 93400 101600 104608 118618 130760 142240 163450 177800 186800 237236 261520 296545 326900 355600 373600 415163 474472 523040 593090 653800 711200 830326 948944 1186180 1307600 1482725 1660652 1897888 2075815 2372360 2615200 2965450 3321304 4151630 4744720 5930900 6642608 8303260 9489440 10379075 11861800 13285216 16606520 20758150 23723600 33213040 41516300 47447200 66426080 83032600 166065200 332130400