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3430641474 = 2321331716661
BaseRepresentation
bin1100110001111011…
…0110111101000010
322212002100122101100
43030132312331002
524011221011344
61324230315230
7151004654121
oct31436667502
98762318340
103430641474
111500564797
127b8ab8b16
13428993a90
142478a5ab8
151512ab569
hexcc7b6f42

3430641474 has 96 divisors (see below), whose sum is σ = 8380689408. Its totient is φ = 1006992000.

The previous prime is 3430641469. The next prime is 3430641479. The reversal of 3430641474 is 4741460343.

3430641474 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 641 + 4 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3430641469) and next prime (3430641479).

It is a super-3 number, since 3×34306414743 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430641479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511704 + ... + 518364.

It is an arithmetic number, because the mean of its divisors is an integer number (87298848).

Almost surely, 23430641474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430641474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190344704).

3430641474 is an abundant number, since it is smaller than the sum of its proper divisors (4950047934).

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

3430641474 is a wasteful number, since it uses less digits than its factorization.

3430641474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3430641474 is about 58571.6780876218. The cubic root of 3430641474 is about 1508.1982917089.

The spelling of 3430641474 in words is "three billion, four hundred thirty million, six hundred forty-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 71 78 93 117 142 186 213 234 279 403 426 558 639 806 923 1209 1278 1846 2201 2418 2769 3627 4402 5538 6603 6661 7254 8307 13206 13322 16614 19809 19983 28613 39618 39966 57226 59949 85839 86593 119898 171678 173186 206491 257517 259779 412982 472931 515034 519558 619473 779337 945862 1238946 1418793 1558674 1858419 2684383 2837586 3716838 4256379 5368766 6148103 8053149 8512758 12296206 14660861 16106298 18444309 24159447 29321722 36888618 43982583 48318894 55332927 87965166 110665854 131947749 190591193 263895498 381182386 571773579 1143547158 1715320737 3430641474