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296040096 = 2535113461
BaseRepresentation
bin10001101001010…
…011011010100000
3202122001101200000
4101221103122200
51101241240341
645213100000
710223204442
oct2151233240
9678041600
10296040096
1114211a340
1283187600
1349442571
142b462492
151aeca8b6
hex11a536a0

296040096 has 144 divisors (see below), whose sum is σ = 952687008. Its totient is φ = 89683200.

The previous prime is 296040053. The next prime is 296040113. The reversal of 296040096 is 690040692.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 296040096.

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, 83806 + ... + 87266.

It is an arithmetic number, because the mean of its divisors is an integer number (6615882).

Almost surely, 2296040096 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 296040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476343504).

296040096 is an abundant number, since it is smaller than the sum of its proper divisors (656646912).

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

296040096 is a wasteful number, since it uses less digits than its factorization.

296040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 296040096 is about 17205.8157609571. The cubic root of 296040096 is about 666.4744610353.

The spelling of 296040096 in words is "two hundred ninety-six million, forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3461 3564 3888 4752 5346 6922 7128 7776 9504 10383 10692 13844 14256 20766 21384 27688 28512 31149 38071 41532 42768 55376 62298 76142 83064 85536 93447 110752 114213 124596 152284 166128 186894 228426 249192 280341 304568 332256 342639 373788 456852 498384 560682 609136 685278 747576 841023 913704 996768 1027917 1121364 1218272 1370556 1495152 1682046 1827408 2055834 2242728 2741112 2990304 3083751 3364092 3654816 4111668 4485456 5482224 6167502 6728184 8223336 8970912 9251253 10964448 12335004 13456368 16446672 18502506 24670008 26912736 32893344 37005012 49340016 74010024 98680032 148020048 296040096