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3499640064 = 283210314747
BaseRepresentation
bin1101000010011000…
…0100010100000000
3100000220012010122200
43100212010110000
524131401440224
61335133233200
7152503310154
oct32046042400
910026163580
103499640064
111536501418
12818032800
1343a07184b
14252b07064
1515738a5c9
hexd0984500

3499640064 has 108 divisors (see below), whose sum is σ = 10188980256. Its totient is φ = 1155142656.

The previous prime is 3499640063. The next prime is 3499640083. The reversal of 3499640064 is 4600469943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3499640063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229939 + ... + 244685.

Almost surely, 23499640064 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 3499640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094490128).

3499640064 is an abundant number, since it is smaller than the sum of its proper divisors (6689340192).

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

3499640064 is a wasteful number, since it uses less digits than its factorization.

3499640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3499640064 is about 59157.7557383645. The cubic root of 3499640064 is about 1518.2424375970.

The spelling of 3499640064 in words is "three billion, four hundred ninety-nine million, six hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 576 618 768 824 927 1152 1236 1648 1854 2304 2472 3296 3708 4944 6592 7416 9888 13184 14747 14832 19776 26368 29494 29664 39552 44241 58988 59328 79104 88482 117976 118656 132723 176964 235952 237312 265446 353928 471904 530892 707856 943808 1061784 1415712 1518941 1887616 2123568 2831424 3037882 3775232 4247136 4556823 5662848 6075764 8494272 9113646 11325696 12151528 13670469 16988544 18227292 24303056 27340938 33977088 36454584 48606112 54681876 72909168 97212224 109363752 145818336 194424448 218727504 291636672 388848896 437455008 583273344 874910016 1166546688 1749820032 3499640064