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3499052004 = 22327139191523
BaseRepresentation
bin1101000010001111…
…0100101111100100
3100000212002020222200
43100203310233210
524131224131004
61335112454500
7152465310540
oct32043645744
910025066880
103499052004
11153613a618
128179aa430
13439bc6c96
142529d2a20
151572c1239
hexd08f4be4

3499052004 has 144 divisors (see below), whose sum is σ = 10253967360. Its totient is φ = 985452480.

The previous prime is 3499052003. The next prime is 3499052059. The reversal of 3499052004 is 4002509943.

3499052004 is a `hidden beast` number, since 3 + 49 + 90 + 520 + 0 + 4 = 666.

3499052004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3499052004.

It is not an unprimeable number, because it can be changed into a prime (3499052003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6690087 + ... + 6690609.

Almost surely, 23499052004 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 3499052004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126983680).

3499052004 is an abundant number, since it is smaller than the sum of its proper divisors (6754915356).

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

3499052004 is a wasteful number, since it uses less digits than its factorization.

3499052004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3499052004 is about 59152.7852598675. The cubic root of 3499052004 is about 1518.1573938359.

The spelling of 3499052004 in words is "three billion, four hundred ninety-nine million, fifty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 139 191 252 278 382 417 523 556 573 764 834 973 1046 1146 1251 1337 1569 1668 1719 1946 2092 2292 2502 2674 2919 3138 3438 3661 3892 4011 4707 5004 5348 5838 6276 6876 7322 8022 8757 9414 10983 11676 12033 14644 16044 17514 18828 21966 24066 26549 32949 35028 43932 48132 53098 65898 72697 79647 99893 106196 131796 145394 159294 185843 199786 218091 238941 290788 299679 318588 371686 399572 436182 477882 508879 557529 599358 654273 699251 743372 872364 899037 955764 1017758 1115058 1198716 1308546 1398502 1526637 1672587 1798074 2035516 2097753 2230116 2617092 2797004 3053274 3345174 3596148 4195506 4579911 6106548 6293259 6690348 8391012 9159822 12586518 13885127 18319644 25173036 27770254 41655381 55540508 83310762 97195889 124966143 166621524 194391778 249932286 291587667 388783556 499864572 583175334 874763001 1166350668 1749526002 3499052004