Search a number
-
+
74335104 = 2733137157
BaseRepresentation
bin1000110111001…
…00001110000000
312011212121121000
410123210032000
5123012210404
611213132000
71561560264
oct433441600
9164777530
1074335104
1138a62078
1220a8a000
1312528a8c
149c300a4
1567d5339
hex46e4380

74335104 has 128 divisors (see below), whose sum is σ = 222400800. Its totient is φ = 24440832.

The previous prime is 74335081. The next prime is 74335133. The reversal of 74335104 is 40153347.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473394 + ... + 473550.

Almost surely, 274335104 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 74335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111200400).

74335104 is an abundant number, since it is smaller than the sum of its proper divisors (148065696).

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

74335104 is a wasteful number, since it uses less digits than its factorization.

74335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 74335104 is about 8621.7807905328. The cubic root of 74335104 is about 420.4664206119.

The spelling of 74335104 in words is "seventy-four million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 157 192 216 274 288 314 384 411 432 471 548 576 628 822 864 942 1096 1152 1233 1256 1413 1644 1728 1884 2192 2466 2512 2826 3288 3456 3699 3768 4239 4384 4932 5024 5652 6576 7398 7536 8478 8768 9864 10048 11304 13152 14796 15072 16956 17536 19728 20096 21509 22608 26304 29592 30144 33912 39456 43018 45216 52608 59184 60288 64527 67824 78912 86036 90432 118368 129054 135648 157824 172072 180864 193581 236736 258108 271296 344144 387162 473472 516216 542592 580743 688288 774324 1032432 1161486 1376576 1548648 2064864 2322972 2753152 3097296 4129728 4645944 6194592 8259456 9291888 12389184 18583776 24778368 37167552 74335104