Search a number
-
+
73413396 = 22327317919
BaseRepresentation
bin1000110000000…
…11001100010100
312010010210020200
410120003030110
5122243212041
611141300500
71551001140
oct430031424
9163123220
1073413396
1138492631
1220704730
13122953a4
149a70220
1566a21b6
hex4603314

73413396 has 72 divisors (see below), whose sum is σ = 212983680. Its totient is φ = 20886336.

The previous prime is 73413377. The next prime is 73413421. The reversal of 73413396 is 69331437.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 73413396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79425 + ... + 80343.

Almost surely, 273413396 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 73413396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106491840).

73413396 is an abundant number, since it is smaller than the sum of its proper divisors (139570284).

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

73413396 is a wasteful number, since it uses less digits than its factorization.

73413396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1248 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 73413396 is about 8568.1617631788. The cubic root of 73413396 is about 418.7213493133.

The spelling of 73413396 in words is "seventy-three million, four hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 919 951 1268 1838 1902 2219 2757 2853 3676 3804 4438 5514 5706 6433 6657 8271 8876 11028 11412 12866 13314 16542 19299 19971 25732 26628 33084 38598 39942 57897 77196 79884 115794 231588 291323 582646 873969 1165292 1747938 2039261 2621907 3495876 4078522 5243814 6117783 8157044 10487628 12235566 18353349 24471132 36706698 73413396