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76268340 = 22325423713
BaseRepresentation
bin1001000101111…
…00001100110100
312022111211111100
410202330030310
5124011041330
611322410100
71614161451
oct442741464
9168454440
1076268340
113a062595
1221660930
1312a549c5
14a1b4828
156a68060
hex48bc334

76268340 has 36 divisors (see below), whose sum is σ = 231347844. Its totient is φ = 20338176.

The previous prime is 76268329. The next prime is 76268363. The reversal of 76268340 is 4386267.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 62916624 = 3654^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 76268295 and 76268304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211677 + ... + 212036.

It is an arithmetic number, because the mean of its divisors is an integer number (6426329).

Almost surely, 276268340 is an apocalyptic number.

It is an amenable number.

76268340 is an abundant number, since it is smaller than the sum of its proper divisors (155079504).

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

76268340 is a wasteful number, since it uses less digits than its factorization.

76268340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423728 (or 423723 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76268340 is about 8733.1746804928. The cubic root of 76268340 is about 424.0802995535.

The spelling of 76268340 in words is "seventy-six million, two hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 423713 847426 1271139 1694852 2118565 2542278 3813417 4237130 5084556 6355695 7626834 8474260 12711390 15253668 19067085 25422780 38134170 76268340