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3434021032 = 2313317314591
BaseRepresentation
bin1100110010101111…
…0000000010101000
322212022201100021011
43030223300002220
524013102133112
61324430553304
7151045461061
oct31453600250
98768640234
103434021032
111502462912
127ba068834
134295a8110
14248105568
15151727aa7
hexccaf00a8

3434021032 has 64 divisors (see below), whose sum is σ = 7256309760. Its totient is φ = 1512691200.

The previous prime is 3434021009. The next prime is 3434021057. The reversal of 3434021032 is 2301204343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3434020994 and 3434021012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228057 + ... + 242647.

It is an arithmetic number, because the mean of its divisors is an integer number (113379840).

Almost surely, 23434021032 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 3434021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628154880).

3434021032 is an abundant number, since it is smaller than the sum of its proper divisors (3822288728).

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

3434021032 is a wasteful number, since it uses less digits than its factorization.

3434021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14714 (or 14710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3434021032 is about 58600.5207485394. The cubic root of 3434021032 is about 1508.6933760676.

Adding to 3434021032 its reverse (2301204343), we get a palindrome (5735225375).

The spelling of 3434021032 in words is "three billion, four hundred thirty-four million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 73 104 124 146 248 292 403 584 806 949 1612 1898 2263 3224 3796 4526 7592 9052 14591 18104 29182 29419 58364 58838 116728 117676 189683 235352 379366 452321 758732 904642 1065143 1517464 1809284 2130286 3618568 4260572 5880173 8521144 11760346 13846859 23520692 27693718 33019433 47041384 55387436 66038866 110774872 132077732 264155464 429252629 858505258 1717010516 3434021032