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7340674068 = 22327132977267
BaseRepresentation
bin1101101011000100…
…11100110000010100
3200221120202212202100
412311202130300110
5110013203032233
63212224042100
7346623462060
oct66542346024
920846685670
107340674068
11312768a092
12150a463330
138cca75330
144d8cbaaa0
152ce6ae813
hex1b589cc14

7340674068 has 144 divisors (see below), whose sum is σ = 23625463680. Its totient is φ = 1869219072.

The previous prime is 7340674063. The next prime is 7340674079. The reversal of 7340674068 is 8604760437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7340674063) 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, 56371 + ... + 133637.

It is an arithmetic number, because the mean of its divisors is an integer number (164065720).

Almost surely, 27340674068 is an apocalyptic number.

7340674068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7340674068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812731840).

7340674068 is an abundant number, since it is smaller than the sum of its proper divisors (16284789612).

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

7340674068 is a wasteful number, since it uses less digits than its factorization.

7340674068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77326 (or 77321 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7340674068 is about 85677.7337935592. The cubic root of 7340674068 is about 1943.4736070325.

The spelling of 7340674068 in words is "seven billion, three hundred forty million, six hundred seventy-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 10556 13572 15834 23751 31668 47502 77267 95004 154534 231801 309068 463602 540869 695403 927204 1004471 1081738 1390806 1622607 2008942 2163476 2240743 2781612 3013413 3245214 4017884 4481486 4867821 6026826 6490428 6722229 7031297 8962972 9040239 9735642 12053652 13444458 14062594 15685201 18080478 19471284 20166687 21093891 26888916 28125188 29129659 31370402 36160956 40333374 42187782 47055603 58259318 62740804 63281673 80666748 84375564 87388977 94111206 116518636 126563346 141166809 174777954 188222412 203907613 253126692 262166931 282333618 349555908 407815226 524333862 564667236 611722839 815630452 1048667724 1223445678 1835168517 2446891356 3670337034 7340674068