Search a number
-
+
73673336 = 231119139317
BaseRepresentation
bin1000110010000…
…10101001111000
312010121222211002
410121002221320
5122330021321
611151024132
71553133032
oct431025170
9163558732
1073673336
113864a960
122080b048
13123567b9
149adac52
15670420b
hex4642a78

73673336 has 64 divisors (see below), whose sum is σ = 160272000. Its totient is φ = 31397760.

The previous prime is 73673323. The next prime is 73673371. The reversal of 73673336 is 63337637.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 73673336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232250 + ... + 232566.

It is an arithmetic number, because the mean of its divisors is an integer number (2504250).

Almost surely, 273673336 is an apocalyptic number.

73673336 is a gapful number since it is divisible by the number (76) 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 73673336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80136000).

73673336 is an abundant number, since it is smaller than the sum of its proper divisors (86598664).

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

73673336 is a wasteful number, since it uses less digits than its factorization.

73673336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its digits is 142884, while the sum is 38.

The square root of 73673336 is about 8583.3173074284. The cubic root of 73673336 is about 419.2149659352.

The spelling of 73673336 in words is "seventy-three million, six hundred seventy-three thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 139 152 209 278 317 418 556 634 836 1112 1268 1529 1672 2536 2641 3058 3487 5282 6023 6116 6974 10564 12046 12232 13948 21128 24092 27896 29051 44063 48184 58102 66253 88126 116204 132506 176252 232408 265012 352504 484693 530024 837197 969386 1674394 1938772 3348788 3877544 6697576 9209167 18418334 36836668 73673336