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3410424228 = 2231921170891
BaseRepresentation
bin1100101101000110…
…1111000110100100
322210200022111112110
43023101233012210
523441032033403
61322225121020
7150341061531
oct31321570644
98720274473
103410424228
1114a0106222
127b2189170
13424735803
14244d21d88
1514e616103
hexcb46f1a4

3410424228 has 48 divisors (see below), whose sum is σ = 8416298240. Its totient is φ = 1071856800.

The previous prime is 3410424223. The next prime is 3410424253. The reversal of 3410424228 is 8224240143.

3410424228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3410424195 and 3410424204.

It is not an unprimeable number, because it can be changed into a prime (3410424223) 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, 12663 + ... + 83553.

Almost surely, 23410424228 is an apocalyptic number.

3410424228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410424228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208149120).

3410424228 is an abundant number, since it is smaller than the sum of its proper divisors (5005874012).

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

3410424228 is a wasteful number, since it uses less digits than its factorization.

3410424228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71128 (or 71126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 3410424228 is about 58398.8375569240. The cubic root of 3410424228 is about 1505.2297788624.

The spelling of 3410424228 in words is "three billion, four hundred ten million, four hundred twenty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 211 228 422 633 844 1266 2532 4009 8018 12027 16036 24054 48108 70891 141782 212673 283564 425346 850692 1346929 2693858 4040787 5387716 8081574 14958001 16163148 29916002 44874003 59832004 89748006 179496012 284202019 568404038 852606057 1136808076 1705212114 3410424228