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3441132401 = 717314789223
BaseRepresentation
bin1100110100011011…
…1000001101110001
322212211002122020012
43031012320031301
524021412214101
61325243224305
7151163066660
oct31506701561
98784078205
103441132401
11150647a783
12800518095
1342abc7c25
14249036dd7
1515217ebbb
hexcd1b8371

3441132401 has 64 divisors (see below), whose sum is σ = 4459069440. Its totient is φ = 2588129280.

The previous prime is 3441132397. The next prime is 3441132403. The reversal of 3441132401 is 1042311443.

3441132401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3441132401 - 22 = 3441132397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3441132403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15430976 + ... + 15431198.

It is an arithmetic number, because the mean of its divisors is an integer number (69672960).

Almost surely, 23441132401 is an apocalyptic number.

3441132401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3441132401 is a deficient number, since it is larger than the sum of its proper divisors (1017937039).

3441132401 is a wasteful number, since it uses less digits than its factorization.

3441132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3441132401 is about 58661.1660385301. The cubic root of 3441132401 is about 1509.7340877894.

Adding to 3441132401 its reverse (1042311443), we get a palindrome (4483443844).

The spelling of 3441132401 in words is "three billion, four hundred forty-one million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 7 17 31 47 89 119 217 223 329 527 623 799 1457 1513 1561 2759 3689 3791 4183 5593 6913 10199 10481 10591 19313 19847 24769 26537 29281 46903 48391 71111 73367 117521 129673 138929 173383 178177 324911 328321 337399 497777 615257 822647 907711 932809 1247239 2204441 2274377 2361793 4306799 5523487 6529663 10459369 15431087 15857753 28917079 38664409 73215583 111004271 202419553 491590343 3441132401