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2940204096 = 26341929851
BaseRepresentation
bin1010111100111111…
…1111010001000000
321120220111211210000
42233033333101000
522010143012341
61203430440000
7132601215414
oct25717772100
97526454700
102940204096
111279739945
126a0803000
1337b1a944b
141dc6bcd44
151231d18b6
hexaf3ff440

2940204096 has 140 divisors (see below), whose sum is σ = 9174713680. Its totient is φ = 928454400.

The previous prime is 2940204073. The next prime is 2940204109. The reversal of 2940204096 is 6904020492.

It is a super-2 number, since 2×29402040962 = 17289600252270354432, which contains 22 as substring.

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 2940204096.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83571 + ... + 113421.

Almost surely, 22940204096 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 2940204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587356840).

2940204096 is an abundant number, since it is smaller than the sum of its proper divisors (6234509584).

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

2940204096 is a wasteful number, since it uses less digits than its factorization.

2940204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29894 (or 29875 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2940204096 is about 54223.6488628347. The cubic root of 2940204096 is about 1432.6029004232.

It can be divided in two parts, 294020 and 4096, that added together give a square (298116 = 5462).

The spelling of 2940204096 in words is "two billion, nine hundred forty million, two hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 29851 32832 49248 59702 89553 98496 119404 179106 238808 268659 358212 477616 537318 567169 716424 805977 955232 1074636 1134338 1432848 1611954 1701507 1910464 2149272 2268676 2417931 2865696 3223908 3403014 4298544 4537352 4835862 5104521 5731392 6447816 6806028 8597088 9074704 9671724 10209042 12895632 13612056 15313563 17194176 18149408 19343448 20418084 25791264 27224112 30627126 36298816 38686896 40836168 45940689 51582528 54448224 61254252 77373792 81672336 91881378 108896448 122508504 154747584 163344672 183762756 245017008 326689344 367525512 490034016 735051024 980068032 1470102048 2940204096