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76340772 = 22332373421
BaseRepresentation
bin1001000110011…
…01111000100100
312022122111212000
410203031320210
5124020401042
611324125300
71614612564
oct443157044
9168574760
1076340772
113a101a52
1221696830
1312a7b971
14a1d2da4
156a7e74c
hex48cde24

76340772 has 96 divisors (see below), whose sum is σ = 209852160. Its totient is φ = 23950080.

The previous prime is 76340767. The next prime is 76340773. The reversal of 76340772 is 27704367.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76340773) 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, 181122 + ... + 181542.

It is an arithmetic number, because the mean of its divisors is an integer number (2185960).

Almost surely, 276340772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76340772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104926080).

76340772 is an abundant number, since it is smaller than the sum of its proper divisors (133511388).

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

76340772 is a wasteful number, since it uses less digits than its factorization.

76340772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 76340772 is about 8737.3206419359. The cubic root of 76340772 is about 424.2145066851.

The spelling of 76340772 in words is "seventy-six million, three hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 73 92 108 138 146 207 219 276 292 414 421 438 621 657 828 842 876 1242 1263 1314 1679 1684 1971 2484 2526 2628 3358 3789 3942 5037 5052 6716 7578 7884 9683 10074 11367 15111 15156 19366 20148 22734 29049 30222 30733 38732 45333 45468 58098 60444 61466 87147 90666 92199 116196 122932 174294 181332 184398 261441 276597 348588 368796 522882 553194 706859 829791 1045764 1106388 1413718 1659582 2120577 2827436 3319164 4241154 6361731 8482308 12723462 19085193 25446924 38170386 76340772