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3241420400 = 245218144771
BaseRepresentation
bin1100000100110100…
…0010011001110000
322100220022012212102
43001031002121300
523114300423100
61253350515532
7143216422151
oct30115023160
98326265772
103241420400
111413774139
12765665ba8
133c8711a4a
1422a6cb928
1513e880cd5
hexc1342670

3241420400 has 60 divisors (see below), whose sum is σ = 7830712344. Its totient is φ = 1289376000.

The previous prime is 3241420397. The next prime is 3241420421. The reversal of 3241420400 is 40241423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50015 + ... + 94785.

Almost surely, 23241420400 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 3241420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915356172).

3241420400 is an abundant number, since it is smaller than the sum of its proper divisors (4589291944).

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

3241420400 is a wasteful number, since it uses less digits than its factorization.

3241420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44970 (or 44959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3241420400 is about 56933.4734580633. The cubic root of 3241420400 is about 1479.9434480461.

Adding to 3241420400 its reverse (40241423), we get a palindrome (3281661823).

The spelling of 3241420400 in words is "three billion, two hundred forty-one million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 44771 72400 89542 179084 223855 358168 447710 716336 895420 1119275 1790840 2238550 3581680 4477100 8103551 8954200 16207102 17908400 32414204 40517755 64828408 81035510 129656816 162071020 202588775 324142040 405177550 648284080 810355100 1620710200 3241420400