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3430039416 = 2333713812797
BaseRepresentation
bin1100110001110010…
…0011111101111000
322212001020001111220
43030130203331320
524011042230131
61324205352040
7150666565626
oct31434437570
98761201456
103430039416
111500193421
127b8868620
13428812a2b
1424778a516
151511dce96
hexcc723f78

3430039416 has 64 divisors (see below), whose sum is σ = 8816386080. Its totient is φ = 1111242240.

The previous prime is 3430039411. The next prime is 3430039463. The reversal of 3430039416 is 6149300343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430039411) 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, 1224930 + ... + 1227726.

Almost surely, 23430039416 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 3430039416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408193040).

3430039416 is an abundant number, since it is smaller than the sum of its proper divisors (5386346664).

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

3430039416 is a wasteful number, since it uses less digits than its factorization.

3430039416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3430039416 is about 58566.5383644962. The cubic root of 3430039416 is about 1508.1100598164.

Adding to 3430039416 its reverse (6149300343), we get a palindrome (9579339759).

The spelling of 3430039416 in words is "three billion, four hundred thirty million, thirty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1381 2762 2797 4143 5524 5594 8286 8391 11048 11188 16572 16782 22376 33144 33564 51097 67128 102194 103489 153291 204388 206978 306582 310467 408776 413956 613164 620934 827912 1226328 1241868 2483736 3862657 7725314 11587971 15450628 23175942 30901256 46351884 92703768 142918309 285836618 428754927 571673236 857509854 1143346472 1715019708 3430039416