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3434212120 = 235251401853
BaseRepresentation
bin1100110010110001…
…1110101100011000
322212100002001101111
43030230132230120
524013124241440
61324435030104
7151050215143
oct31454365430
98770061344
103434212120
111502583439
127ba13b334
134296440a1
1424815505a
151517644ea
hexccb1eb18

3434212120 has 64 divisors (see below), whose sum is σ = 7786225440. Its totient is φ = 1363200000.

The previous prime is 3434212079. The next prime is 3434212123. The reversal of 3434212120 is 212124343.

3434212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34342121203 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3434212091 and 3434212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434212123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025614 + ... + 4026466.

Almost surely, 23434212120 is an apocalyptic number.

It is an amenable number.

3434212120 is an abundant number, since it is smaller than the sum of its proper divisors (4352013320).

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

3434212120 is a wasteful number, since it uses less digits than its factorization.

3434212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1512 counting only the distinct ones).

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

The square root of 3434212120 is about 58602.1511550557. The cubic root of 3434212120 is about 1508.7213595744.

Adding to 3434212120 its reverse (212124343), we get a palindrome (3646336463).

The spelling of 3434212120 in words is "three billion, four hundred thirty-four million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 251 401 502 802 853 1004 1255 1604 1706 2005 2008 2510 3208 3412 4010 4265 5020 6824 8020 8530 10040 16040 17060 34120 100651 201302 214103 342053 402604 428206 503255 684106 805208 856412 1006510 1070515 1368212 1710265 1712824 2013020 2141030 2736424 3420530 4026040 4282060 6841060 8564120 13682120 85855303 171710606 343421212 429276515 686842424 858553030 1717106060 3434212120