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3401230100 = 2252319771123
BaseRepresentation
bin1100101010111010…
…1010011100010100
322210001000101120012
43022232222130110
523431203330400
61321300055352
7150166656512
oct31256523424
98701011505
103401230100
1114959a6574
127ab094558
134228669b8
14243a0b4b2
1514d8ebd35
hexcabaa714

3401230100 has 72 divisors (see below), whose sum is σ = 7633344768. Its totient is φ = 1314086400.

The previous prime is 3401230099. The next prime is 3401230163. The reversal of 3401230100 is 10321043.

3401230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3028139 + ... + 3029261.

Almost surely, 23401230100 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 3401230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816672384).

3401230100 is an abundant number, since it is smaller than the sum of its proper divisors (4232114668).

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

3401230100 is a wasteful number, since it uses less digits than its factorization.

3401230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3401230100 is about 58320.0660150518. The cubic root of 3401230100 is about 1503.8759169597.

Adding to 3401230100 its reverse (10321043), we get a palindrome (3411551143).

The spelling of 3401230100 in words is "three billion, four hundred one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 977 1123 1550 1954 2246 3100 3908 4492 4885 5615 9770 11230 19540 22460 24425 28075 30287 34813 48850 56150 60574 69626 97700 112300 121148 139252 151435 174065 302870 348130 605740 696260 757175 870325 1097171 1514350 1740650 2194342 3028700 3481300 4388684 5485855 10971710 21943420 27429275 34012301 54858550 68024602 109717100 136049204 170061505 340123010 680246020 850307525 1700615050 3401230100