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74228736 = 210373331
BaseRepresentation
bin1000110110010…
…10010000000000
312011200012200110
410123022100000
5123000304421
611210551320
71560635211
oct433122000
9164605613
1074228736
113899a16a
1220a38540
13124bc53a
149c03408
1567b3a76
hex46ca400

74228736 has 88 divisors (see below), whose sum is σ = 201162784. Its totient is φ = 24330240.

The previous prime is 74228729. The next prime is 74228743. The reversal of 74228736 is 63782247.

It is an interprime number because it is at equal distance from previous prime (74228729) and next prime (74228743).

It is a junction number, because it is equal to n+sod(n) for n = 74228694 and 74228703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224091 + ... + 224421.

Almost surely, 274228736 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 74228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100581392).

74228736 is an abundant number, since it is smaller than the sum of its proper divisors (126934048).

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

74228736 is a wasteful number, since it uses less digits than its factorization.

74228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 74228736 is about 8615.6100190294. The cubic root of 74228736 is about 420.2657728286.

The spelling of 74228736 in words is "seventy-four million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 331 384 438 512 584 662 768 876 993 1024 1168 1324 1536 1752 1986 2336 2648 3072 3504 3972 4672 5296 7008 7944 9344 10592 14016 15888 18688 21184 24163 28032 31776 37376 42368 48326 56064 63552 72489 74752 84736 96652 112128 127104 144978 169472 193304 224256 254208 289956 338944 386608 508416 579912 773216 1016832 1159824 1546432 2319648 3092864 4639296 6185728 9278592 12371456 18557184 24742912 37114368 74228736