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73374390 = 23351914303
BaseRepresentation
bin1000101111110…
…01101010110110
312010001210202000
410113321222312
5122240440030
611140400130
71550446335
oct427715266
9163053660
1073374390
11384662a1
12206a6046
13122806cb
149a5dd1c
156695860
hex45f9ab6

73374390 has 64 divisors (see below), whose sum is σ = 205977600. Its totient is φ = 18535392.

The previous prime is 73374361. The next prime is 73374401. The reversal of 73374390 is 9347337.

It is a super-2 number, since 2×733743902 = 10767602215744200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022 + ... + 12281.

It is an arithmetic number, because the mean of its divisors is an integer number (3218400).

Almost surely, 273374390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73374390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102988800).

73374390 is an abundant number, since it is smaller than the sum of its proper divisors (132603210).

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

73374390 is a wasteful number, since it uses less digits than its factorization.

73374390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14338 (or 14332 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 73374390 is about 8565.8852432192. The cubic root of 73374390 is about 418.6471778436.

The spelling of 73374390 in words is "seventy-three million, three hundred seventy-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 14303 28606 42909 71515 85818 128727 143030 214545 257454 271757 386181 429090 543514 643635 772362 815271 1287270 1358785 1630542 1930905 2445813 2717570 3861810 4076355 4891626 7337439 8152710 12229065 14674878 24458130 36687195 73374390