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770134638 = 2371319611217
BaseRepresentation
bin101101111001110…
…101001001101110
31222200010220010010
4231321311021232
53034123302023
6204230354050
725041015330
oct5571651156
91880126103
10770134638
113657a2609
12195abb926
13c3727290
14743d3450
1547928093
hex2de7526e

770134638 has 128 divisors (see below), whose sum is σ = 2029870080. Its totient is φ = 189112320.

The previous prime is 770134633. The next prime is 770134669. The reversal of 770134638 is 836431077.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 770134596 and 770134605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770134633) 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, 632206 + ... + 633422.

It is an arithmetic number, because the mean of its divisors is an integer number (15858360).

Almost surely, 2770134638 is an apocalyptic number.

770134638 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 770134638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014935040).

770134638 is an abundant number, since it is smaller than the sum of its proper divisors (1259735442).

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

770134638 is a wasteful number, since it uses less digits than its factorization.

770134638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 770134638 is about 27751.2997533449. The cubic root of 770134638 is about 916.6190642094.

The spelling of 770134638 in words is "seven hundred seventy million, one hundred thirty-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 61 78 91 114 122 133 182 183 247 266 273 366 399 427 494 546 741 793 798 854 1159 1217 1281 1482 1586 1729 2318 2379 2434 2562 3458 3477 3651 4758 5187 5551 6954 7302 8113 8519 10374 11102 15067 15821 16226 16653 17038 23123 24339 25557 30134 31642 33306 45201 46246 47463 48678 51114 69369 74237 90402 94926 105469 110747 138738 148474 161861 210938 221494 222711 300599 316407 323722 332241 445422 485583 519659 601198 632814 664482 901797 965081 971166 1039318 1410503 1558977 1803594 1930162 2104193 2821006 2895243 3117954 4208386 4231509 5790486 6312579 6755567 8463018 9873521 12625158 13511134 18336539 19747042 20266701 29620563 36673078 40533402 55009617 59241126 110019234 128355773 256711546 385067319 770134638