Search a number
-
+
3496934584 = 2311139731513
BaseRepresentation
bin1101000001101110…
…1111110010111000
3100000201002200102201
43100123233302320
524130203401314
61334555235544
7152441311363
oct32033576270
910021080381
103496934584
111534a23790
12817148bb4
13439635280
142526010da
15157003b74
hexd06efcb8

3496934584 has 64 divisors (see below), whose sum is σ = 7782697440. Its totient is φ = 1452072960.

The previous prime is 3496934533. The next prime is 3496934587. The reversal of 3496934584 is 4854396943.

It is a super-3 number, since 3×34969345843 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496934587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95212 + ... + 126724.

Almost surely, 23496934584 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 3496934584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891348720).

3496934584 is an abundant number, since it is smaller than the sum of its proper divisors (4285762856).

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

3496934584 is a wasteful number, since it uses less digits than its factorization.

3496934584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31640 (or 31636 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The square root of 3496934584 is about 59134.8846621011. The cubic root of 3496934584 is about 1517.8510989245.

The spelling of 3496934584 in words is "three billion, four hundred ninety-six million, nine hundred thirty-four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 286 388 572 776 1067 1144 1261 2134 2522 4268 5044 8536 10088 13871 27742 31513 55484 63026 110968 126052 252104 346643 409669 693286 819338 1386572 1638676 2773144 3056761 3277352 4506359 6113522 9012718 12227044 18025436 24454088 33624371 36050872 39737893 67248742 79475786 134497484 158951572 268994968 317903144 437116823 874233646 1748467292 3496934584