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3378014641 = 37417179397
BaseRepresentation
bin1100100101011000…
…0110100110110001
322201102022220221101
43021112012212301
523404232432031
61315110324401
7146465436121
oct31126064661
98642286841
103378014641
11148388a441
127a3359701
1341aac8b41
142408c6c81
1514b863361
hexc95869b1

3378014641 has 32 divisors (see below), whose sum is σ = 3658798080. Its totient is φ = 3113510400.

The previous prime is 3378014609. The next prime is 3378014657. The reversal of 3378014641 is 1464108733.

It is a 3-Lehmer number, since φ(3378014641) divides (3378014641-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 3378014641 - 25 = 3378014609 is a prime.

It is a super-2 number, since 2×33780146412 = 22821965829620717762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R3378014640.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3378014641.

It is not an unprimeable number, because it can be changed into a prime (3378014681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8508655 + ... + 8509051.

It is an arithmetic number, because the mean of its divisors is an integer number (114337440).

It is a Poulet number, since it divides 23378014640-1.

Almost surely, 23378014641 is an apocalyptic number.

It is an amenable number.

3378014641 is a deficient number, since it is larger than the sum of its proper divisors (280783439).

3378014641 is a wasteful number, since it uses less digits than its factorization.

3378014641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 3378014641 is about 58120.6903004429. The cubic root of 3378014641 is about 1500.4464805717.

The spelling of 3378014641 in words is "three billion, three hundred seventy-eight million, fourteen thousand, six hundred forty-one".

Divisors: 1 37 41 71 79 397 1517 2627 2911 2923 3239 5609 14689 16277 28187 31363 107707 119843 207533 229969 602249 1042919 1155667 1160431 1285883 2226773 8508853 42759679 47577671 82390601 91297693 3378014641