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3441342432 = 2531123141689
BaseRepresentation
bin1100110100011110…
…1011011111100000
322212211111022100010
43031013223133200
524021440424212
61325251524520
7151164633213
oct31507533740
98784438303
103441342432
111506603560
128005b9740
1342ac6c6c8
1424908d77a
151521c203c
hexcd1eb7e0

3441342432 has 96 divisors (see below), whose sum is σ = 10283293440. Its totient is φ = 997483520.

The previous prime is 3441342413. The next prime is 3441342451. The reversal of 3441342432 is 2342431443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3441342413) and next prime (3441342451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3441342432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46557 + ... + 95132.

It is an arithmetic number, because the mean of its divisors is an integer number (107117640).

Almost surely, 23441342432 is an apocalyptic number.

3441342432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3441342432 is an abundant number, since it is smaller than the sum of its proper divisors (6841951008).

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

3441342432 is a wasteful number, since it uses less digits than its factorization.

3441342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141736 (or 141728 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 3441342432 is about 58662.9562159972. The cubic root of 3441342432 is about 1509.7648029215.

Adding to 3441342432 its reverse (2342431443), we get a palindrome (5783773875).

The spelling of 3441342432 in words is "three billion, four hundred forty-one million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 141689 283378 425067 566756 850134 1133512 1558579 1700268 2267024 3117158 3258847 3400536 4534048 4675737 6234316 6517694 6801072 9351474 9776541 12468632 13035388 13602144 18702948 19553082 24937264 26070776 35847317 37405896 39106164 49874528 52141552 71694634 74811792 78212328 104283104 107541951 143389268 149623584 156424656 215083902 286778536 312849312 430167804 573557072 860335608 1147114144 1720671216 3441342432