Search a number
-
+
331915104 = 25331920219
BaseRepresentation
bin10011110010001…
…001111101100000
3212010120000221000
4103302021331200
51134432240404
652534032000
711140142343
oct2362117540
9763500830
10331915104
111603a2804
12931a8600
13539c3691
143212045a
151e215339
hex13c89f60

331915104 has 96 divisors (see below), whose sum is σ = 1019088000. Its totient is φ = 104810112.

The previous prime is 331915099. The next prime is 331915117. The reversal of 331915104 is 401519133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3319151043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 6307 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (10615500).

Almost surely, 2331915104 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 331915104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509544000).

331915104 is an abundant number, since it is smaller than the sum of its proper divisors (687172896).

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

331915104 is a wasteful number, since it uses less digits than its factorization.

331915104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20257 (or 20243 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 331915104 is about 18218.5373726872. The cubic root of 331915104 is about 692.3765311378.

The spelling of 331915104 in words is "three hundred thirty-one million, nine hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 20219 40438 60657 80876 121314 161752 181971 242628 323504 363942 384161 485256 545913 647008 727884 768322 970512 1091826 1152483 1455768 1536644 1941024 2183652 2304966 2911536 3073288 3457449 4367304 4609932 5823072 6146576 6914898 8734608 9219864 10372347 12293152 13829796 17469216 18439728 20744694 27659592 36879456 41489388 55319184 82978776 110638368 165957552 331915104