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3401032041 = 32113141151179
BaseRepresentation
bin1100101010110111…
…1010000101101001
322210000122022212200
43022231322011221
523431131011131
61321251530413
7150165203211
oct31255720551
98700568780
103401032041
111495880790
127aabb9a09
134227c77c4
14243999241
1514d8ad2e6
hexcab7a169

3401032041 has 96 divisors (see below), whose sum is σ = 5736407040. Its totient is φ = 1922400000.

The previous prime is 3401032039. The next prime is 3401032073. The reversal of 3401032041 is 1402301043.

3401032041 is a `hidden beast` number, since 340 + 1 + 0 + 320 + 4 + 1 = 666.

It is not a de Polignac number, because 3401032041 - 21 = 3401032039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3401032031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19000090 + ... + 19000268.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 23401032041 is an apocalyptic number.

3401032041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3401032041 is a deficient number, since it is larger than the sum of its proper divisors (2335374999).

3401032041 is a wasteful number, since it uses less digits than its factorization.

3401032041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401032041 is about 58318.3679555593. The cubic root of 3401032041 is about 1503.8467253699.

Adding to 3401032041 its reverse (1402301043), we get a palindrome (4803333084).

The spelling of 3401032041 in words is "three billion, four hundred one million, thirty-two thousand, forty-one".

Divisors: 1 3 9 11 31 33 41 93 99 123 151 179 279 341 369 451 453 537 1023 1271 1353 1359 1611 1661 1969 3069 3813 4059 4681 4983 5549 5907 6191 7339 11439 13981 14043 14949 16647 17721 18573 22017 27029 41943 42129 49941 51491 55719 61039 66051 68101 80729 81087 125829 154473 183117 191921 204303 227509 242187 243261 297319 463419 549351 575763 612909 682527 726561 837899 891957 1108189 1727289 2047581 2111131 2502599 2513697 2675871 3324567 6333393 7507797 7541091 9216889 9973701 12190079 19000179 22523391 27650667 34353859 36570237 82952001 103061577 109710711 309184731 377892449 1133677347 3401032041