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3403145032 = 237314094793
BaseRepresentation
bin1100101011010111…
…1101111101001000
322210011121200100121
43022311331331020
523432201120112
61321405113024
7150222153430
oct31265757510
98704550317
103403145032
111496a94261
127ab858774
134230874b1
14243d892c0
1514db79407
hexcad7df48

3403145032 has 64 divisors (see below), whose sum is σ = 7547673600. Its totient is φ = 1407697920.

The previous prime is 3403144973. The next prime is 3403145069. The reversal of 3403145032 is 2305413043.

It is a super-2 number, since 2×34031450322 = 23162792217652562048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3403144988 and 3403145006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707628 + ... + 712420.

It is an arithmetic number, because the mean of its divisors is an integer number (117932400).

Almost surely, 23403145032 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 3403145032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773836800).

3403145032 is an abundant number, since it is smaller than the sum of its proper divisors (4144528568).

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

3403145032 is a wasteful number, since it uses less digits than its factorization.

3403145032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3403145032 is about 58336.4811417350. The cubic root of 3403145032 is about 1504.1580972047.

Adding to 3403145032 its reverse (2305413043), we get a palindrome (5708558075).

The spelling of 3403145032 in words is "three billion, four hundred three million, one hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 409 434 818 868 1636 1736 2863 3272 4793 5726 9586 11452 12679 19172 22904 25358 33551 38344 50716 67102 88753 101432 134204 148583 177506 268408 297166 355012 594332 710024 1040081 1188664 1960337 2080162 3920674 4160324 7841348 8320648 13722359 15682696 27444718 54889436 60770447 109778872 121540894 243081788 425393129 486163576 850786258 1701572516 3403145032