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3484953381 = 3713193121673
BaseRepresentation
bin1100111110111000…
…0010101100100101
322222212112222022110
43033232002230211
524114122002011
61333450351233
7152234420640
oct31756025445
98885488273
103484953381
111529190068
1281312b519
13436ccb9c0
14250ba2a57
15155e38ba6
hexcfb82b25

3484953381 has 64 divisors (see below), whose sum is σ = 6214369280. Its totient is φ = 1685214720.

The previous prime is 3484953377. The next prime is 3484953391. The reversal of 3484953381 is 1833594843.

It is not a de Polignac number, because 3484953381 - 22 = 3484953377 is a prime.

It is a super-2 number, since 2×34849533812 = 24289800135486662322, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3484953381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484953391) 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 63 ways as a sum of consecutive naturals, for example, 149961 + ... + 171633.

It is an arithmetic number, because the mean of its divisors is an integer number (97099520).

Almost surely, 23484953381 is an apocalyptic number.

3484953381 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3484953381 is a deficient number, since it is larger than the sum of its proper divisors (2729415899).

3484953381 is a wasteful number, since it uses less digits than its factorization.

3484953381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21746.

The product of its digits is 1244160, while the sum is 48.

The square root of 3484953381 is about 59033.4937217848. The cubic root of 3484953381 is about 1516.1156274139.

The spelling of 3484953381 in words is "three billion, four hundred eighty-four million, nine hundred fifty-three thousand, three hundred eighty-one".

Divisors: 1 3 7 13 19 21 31 39 57 91 93 133 217 247 273 399 403 589 651 741 1209 1729 1767 2821 4123 5187 7657 8463 12369 21673 22971 53599 65019 151711 160797 281749 411787 455133 671863 845247 1235361 1972243 2015589 2882509 4703041 5353231 5916729 8647527 8734219 12765397 14109123 16059693 26202657 37472617 38296191 61139533 89357779 112417851 165950161 183418599 268073337 497850483 1161651127 3484953381