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3434132120 = 235419912113
BaseRepresentation
bin1100110010110000…
…1011001010011000
322212022220222122112
43030230023022120
524013114211440
61324433211452
7151046432666
oct31454131230
98768828575
103434132120
111502529321
127ba100b88
13429616853
14248133c36
1515174a965
hexccb0b298

3434132120 has 64 divisors (see below), whose sum is σ = 7926992640. Its totient is φ = 1338163200.

The previous prime is 3434132077. The next prime is 3434132123. The reversal of 3434132120 is 212314343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434132123) 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, 1624184 + ... + 1626296.

It is an arithmetic number, because the mean of its divisors is an integer number (123859260).

Almost surely, 23434132120 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 3434132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963496320).

3434132120 is an abundant number, since it is smaller than the sum of its proper divisors (4492860520).

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

3434132120 is a wasteful number, since it uses less digits than its factorization.

3434132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3434132120 is about 58601.4685822804. The cubic root of 3434132120 is about 1508.7096442579.

Adding to 3434132120 its reverse (212314343), we get a palindrome (3646446463).

The spelling of 3434132120 in words is "three billion, four hundred thirty-four million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 991 1640 1982 2113 3964 4226 4955 7928 8452 9910 10565 16904 19820 21130 39640 40631 42260 81262 84520 86633 162524 173266 203155 325048 346532 406310 433165 693064 812620 866330 1625240 1732660 2093983 3465320 4187966 8375932 10469915 16751864 20939830 41879660 83759320 85853303 171706606 343413212 429266515 686826424 858533030 1717066060 3434132120