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74098368 = 2633137313
BaseRepresentation
bin1000110101010…
…10011011000000
312011102120212000
410122222123000
5122432121433
611204104000
71556553141
oct432523300
9164376760
1074098368
1138910223
1220995000
13124750b6
149babac8
15678a113
hex46aa6c0

74098368 has 112 divisors (see below), whose sum is σ = 220126560. Its totient is φ = 24440832.

The previous prime is 74098351. The next prime is 74098379. The reversal of 74098368 is 86389047.

It is a happy number.

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, 236580 + ... + 236892.

Almost surely, 274098368 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 74098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110063280).

74098368 is an abundant number, since it is smaller than the sum of its proper divisors (146028192).

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

74098368 is a wasteful number, since it uses less digits than its factorization.

74098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 74098368 is about 8608.0408920962. The cubic root of 74098368 is about 420.0195909229.

The spelling of 74098368 in words is "seventy-four million, ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 313 411 432 548 576 626 822 864 939 1096 1233 1252 1644 1728 1878 2192 2466 2504 2817 3288 3699 3756 4384 4932 5008 5634 6576 7398 7512 8451 8768 9864 10016 11268 13152 14796 15024 16902 19728 20032 22536 26304 29592 30048 33804 39456 42881 45072 59184 60096 67608 78912 85762 90144 118368 128643 135216 171524 180288 236736 257286 270432 343048 385929 514572 540864 686096 771858 1029144 1157787 1372192 1543716 2058288 2315574 2744384 3087432 4116576 4631148 6174864 8233152 9262296 12349728 18524592 24699456 37049184 74098368