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3414440412 = 2233175335089
BaseRepresentation
bin1100101110000100…
…0011100111011100
322210221212112201000
43023201003213130
523443044043122
61322451150300
7150420156525
oct31341034734
98727775630
103414440412
1114a23a9689
127b35a5390
13425510856
1424568984c
1514eb5b0ac
hexcb8439dc

3414440412 has 96 divisors (see below), whose sum is σ = 9550094400. Its totient is φ = 1050955776.

The previous prime is 3414440387. The next prime is 3414440437. The reversal of 3414440412 is 2140444143.

3414440412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3414440387) and next prime (3414440437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79764 + ... + 114852.

It is an arithmetic number, because the mean of its divisors is an integer number (99480150).

Almost surely, 23414440412 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 3414440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775047200).

3414440412 is an abundant number, since it is smaller than the sum of its proper divisors (6135653988).

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

3414440412 is a wasteful number, since it uses less digits than its factorization.

3414440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35172 (or 35164 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3414440412 is about 58433.2132609529. The cubic root of 3414440412 is about 1505.8204100065.

Adding to 3414440412 its reverse (2140444143), we get a palindrome (5554884555).

The spelling of 3414440412 in words is "three billion, four hundred fourteen million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 102 106 108 153 159 204 212 306 318 459 477 612 636 901 918 954 1431 1802 1836 1908 2703 2862 3604 5406 5724 8109 10812 16218 24327 32436 35089 48654 70178 97308 105267 140356 210534 315801 421068 596513 631602 947403 1193026 1263204 1789539 1859717 1894806 2386052 3579078 3719434 3789612 5368617 5579151 7158156 7438868 10737234 11158302 16105851 16737453 21474468 22316604 31615189 32211702 33474906 50212359 63230378 64423404 66949812 94845567 100424718 126460756 189691134 200849436 284536701 379382268 569073402 853610103 1138146804 1707220206 3414440412